{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9d91ea6c-9f4c-4c9e-9e33-f4333482eee5",
   "metadata": {},
   "source": [
    "# Max K-Vertex Cover"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "877ae3cf-10cc-4e51-a428-eb57687d8d18",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "The Max K-Vertex Cover problem [[1]](#MVC) is a classical problem in graph theory and computer science, where we aim to find a set of vertices such that each edge of the graph is incident to at least one vertex in the set, and the size of the set does not exceed a given number $k$.\n",
    "\n",
    "\n",
    "\n",
    "## Mathematical Formulation\n",
    "The Max-k Vertex Cover problem can be formulated as an Integer Linear Program (ILP):\n",
    "\n",
    "Minimize:\n",
    "$\\sum_{(i,j) \\in E} (1 - x_i)(1 - x_j)$\n",
    "\n",
    "Subject to:\n",
    "$\\sum_{i \\in V} x_i = k$\n",
    "\n",
    "and\n",
    "$x_i \\in \\{0, 1\\} \\quad \\forall i \\in V$\n",
    "\n",
    "Where:\n",
    "- $x_i$ is a binary variable that equals 1 if node $i$ is in the cover and 0 otherwise\n",
    "- $E$ is the set of edges in the graph\n",
    "- $V$ is the set of vertices in the graph\n",
    "- $k$ is the maximum number of vertices allowed in the cover\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "# Solving with the Classiq platform\n",
    "\n",
    "We go through the steps of solving the problem with the Classiq platform, using QAOA algorithm [[2](#QAOA)]. The solution is based on defining a pyomo model for the optimization problem we would like to solve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "49a9588b-e79e-4813-b7c5-ac068d7b930c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:01.828768Z",
     "iopub.status.busy": "2024-05-07T15:49:01.828308Z",
     "iopub.status.idle": "2024-05-07T15:49:02.672170Z",
     "shell.execute_reply": "2024-05-07T15:49:02.671553Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from typing import cast\n",
    "\n",
    "import networkx as nx\n",
    "import numpy as np\n",
    "import pyomo.core as pyo\n",
    "from IPython.display import Markdown, display\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8517ef73-faf6-4fd8-9db8-4088551398e0",
   "metadata": {},
   "source": [
    "## Building the Pyomo model from a graph input\n",
    "\n",
    "We proceed by defining the pyomo model that will be used on the Classiq platform, using the mathematical formulation defined above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "48889b21-557b-481c-80c5-3c0b5c91adb6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:02.675329Z",
     "iopub.status.busy": "2024-05-07T15:49:02.674765Z",
     "iopub.status.idle": "2024-05-07T15:49:02.679496Z",
     "shell.execute_reply": "2024-05-07T15:49:02.678928Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import pyomo.core as pyo\n",
    "\n",
    "\n",
    "def mvc(graph: nx.Graph, k: int) -> pyo.ConcreteModel:\n",
    "    model = pyo.ConcreteModel()\n",
    "    model.x = pyo.Var(graph.nodes, domain=pyo.Binary)\n",
    "    model.amount_constraint = pyo.Constraint(expr=sum(model.x.values()) == k)\n",
    "\n",
    "    def obj_expression(model):\n",
    "        # number of edges not covered\n",
    "        return sum((1 - model.x[i]) * (1 - model.x[j]) for i, j in graph.edges)\n",
    "\n",
    "    model.cost = pyo.Objective(rule=obj_expression, sense=pyo.minimize)\n",
    "\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d44cfaba-0269-4b77-a208-cab1a810b1d7",
   "metadata": {},
   "source": [
    "The model contains:\n",
    "\n",
    "- Index set declarations (model.Nodes, model.Arcs).\n",
    "- Binary variable declaration for each node (model.x) indicating whether the variable is chosen for the set.\n",
    "- Constraint rule \u2013 ensures that the set is of size k.\n",
    "- Objective rule \u2013 counts the number of edges not covered; i.e., both related variables are zero."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "439b4081-cb00-4a59-bc23-20a21a291f67",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:02.681807Z",
     "iopub.status.busy": "2024-05-07T15:49:02.681487Z",
     "iopub.status.idle": "2024-05-07T15:49:03.007232Z",
     "shell.execute_reply": "2024-05-07T15:49:03.006530Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "\n",
    "K = 5\n",
    "num_nodes = 10\n",
    "p_edge = 0.5\n",
    "graph = nx.erdos_renyi_graph(n=num_nodes, p=p_edge, seed=13)\n",
    "\n",
    "nx.draw_kamada_kawai(graph, with_labels=True)\n",
    "mvc_model = mvc(graph, K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "345330b2-9c14-41f6-b4ba-e11fb9ca1565",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:03.009901Z",
     "iopub.status.busy": "2024-05-07T15:49:03.009417Z",
     "iopub.status.idle": "2024-05-07T15:49:03.015488Z",
     "shell.execute_reply": "2024-05-07T15:49:03.014894Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 Set Declarations\n",
      "    x_index : Size=1, Index=None, Ordered=False\n",
      "        Key  : Dimen : Domain : Size : Members\n",
      "        None :     1 :    Any :   10 : {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}\n",
      "\n",
      "1 Var Declarations\n",
      "    x : Size=10, Index=x_index\n",
      "        Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
      "          0 :     0 :  None :     1 : False :  True : Binary\n",
      "          1 :     0 :  None :     1 : False :  True : Binary\n",
      "          2 :     0 :  None :     1 : False :  True : Binary\n",
      "          3 :     0 :  None :     1 : False :  True : Binary\n",
      "          4 :     0 :  None :     1 : False :  True : Binary\n",
      "          5 :     0 :  None :     1 : False :  True : Binary\n",
      "          6 :     0 :  None :     1 : False :  True : Binary\n",
      "          7 :     0 :  None :     1 : False :  True : Binary\n",
      "          8 :     0 :  None :     1 : False :  True : Binary\n",
      "          9 :     0 :  None :     1 : False :  True : Binary\n",
      "\n",
      "1 Objective Declarations\n",
      "    cost : Size=1, Index=None, Active=True\n",
      "        Key  : Active : Sense    : Expression\n",
      "        None :   True : minimize : (1 - x[0])*(1 - x[1]) + (1 - x[0])*(1 - x[5]) + (1 - x[0])*(1 - x[6]) + (1 - x[0])*(1 - x[7]) + (1 - x[0])*(1 - x[8]) + (1 - x[1])*(1 - x[2]) + (1 - x[1])*(1 - x[4]) + (1 - x[1])*(1 - x[5]) + (1 - x[1])*(1 - x[6]) + (1 - x[1])*(1 - x[9]) + (1 - x[2])*(1 - x[3]) + (1 - x[2])*(1 - x[4]) + (1 - x[3])*(1 - x[6]) + (1 - x[3])*(1 - x[8]) + (1 - x[4])*(1 - x[6]) + (1 - x[4])*(1 - x[7]) + (1 - x[4])*(1 - x[8]) + (1 - x[4])*(1 - x[9]) + (1 - x[5])*(1 - x[6]) + (1 - x[7])*(1 - x[8]) + (1 - x[8])*(1 - x[9])\n",
      "\n",
      "1 Constraint Declarations\n",
      "    amount_constraint : Size=1, Index=None, Active=True\n",
      "        Key  : Lower : Body                                                                : Upper : Active\n",
      "        None :   5.0 : x[0] + x[1] + x[2] + x[3] + x[4] + x[5] + x[6] + x[7] + x[8] + x[9] :   5.0 :   True\n",
      "\n",
      "4 Declarations: x_index x amount_constraint cost\n"
     ]
    }
   ],
   "source": [
    "mvc_model.pprint()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17ea14ec-dbb7-487c-b4f1-cabc8d5e3c29",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Setting Up the Classiq Problem Instance\n",
    "\n",
    "In order to solve the Pyomo model defined above, we use the Classiq combinatorial optimization engine. For the quantum part of the QAOA algorithm (`QAOAConfig`) - define the number of repetitions (`num_layers`):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "816b468f-a59f-4f2f-8337-4a9d66548425",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:03.018150Z",
     "iopub.status.busy": "2024-05-07T15:49:03.017651Z",
     "iopub.status.idle": "2024-05-07T15:49:05.001488Z",
     "shell.execute_reply": "2024-05-07T15:49:05.000681Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import construct_combinatorial_optimization_model\n",
    "from classiq.applications.combinatorial_optimization import OptimizerConfig, QAOAConfig\n",
    "\n",
    "qaoa_config = QAOAConfig(num_layers=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db34d5ac-6877-4285-8dec-7bf7b37eb783",
   "metadata": {},
   "source": [
    "For the classical optimization part of the QAOA algorithm we define the maximum number of classical iterations (`max_iteration`) and the $\\alpha$-parameter (`alpha_cvar`) for running CVaR-QAOA, an improved variation of the QAOA algorithm [[3](#cvar)]:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e41d0dd3-4135-4330-9ba3-c1b30c339a74",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:05.006362Z",
     "iopub.status.busy": "2024-05-07T15:49:05.005049Z",
     "iopub.status.idle": "2024-05-07T15:49:05.009888Z",
     "shell.execute_reply": "2024-05-07T15:49:05.009276Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "optimizer_config = OptimizerConfig(max_iteration=60, alpha_cvar=0.7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "214d6051-43b8-4b9d-8454-f9cdb62b4cf0",
   "metadata": {},
   "source": [
    "Lastly, we load the model, based on the problem and algorithm parameters, which we can use to solve the problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0243019c-6fc3-435f-b6ec-8b4355d6660c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:05.014101Z",
     "iopub.status.busy": "2024-05-07T15:49:05.012999Z",
     "iopub.status.idle": "2024-05-07T15:49:05.454332Z",
     "shell.execute_reply": "2024-05-07T15:49:05.453564Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "qmod = construct_combinatorial_optimization_model(\n",
    "    pyo_model=mvc_model,\n",
    "    qaoa_config=qaoa_config,\n",
    "    optimizer_config=optimizer_config,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fcc3812-c9d0-421c-84bb-38047297b33f",
   "metadata": {},
   "source": [
    "We also set the quantum backend we want to execute on:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "53bc041f-065c-44d2-b220-dafd9d0504ac",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:05.459516Z",
     "iopub.status.busy": "2024-05-07T15:49:05.458347Z",
     "iopub.status.idle": "2024-05-07T15:49:05.490549Z",
     "shell.execute_reply": "2024-05-07T15:49:05.489834Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import set_execution_preferences\n",
    "from classiq.execution import ClassiqBackendPreferences, ExecutionPreferences\n",
    "\n",
    "backend_preferences = ExecutionPreferences(\n",
    "    backend_preferences=ClassiqBackendPreferences(backend_name=\"aer_simulator\")\n",
    ")\n",
    "\n",
    "qmod = set_execution_preferences(qmod, backend_preferences)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "91fea2e9-0ce2-43cb-850c-3ba65a8a76c4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:05.495462Z",
     "iopub.status.busy": "2024-05-07T15:49:05.494337Z",
     "iopub.status.idle": "2024-05-07T15:49:05.546829Z",
     "shell.execute_reply": "2024-05-07T15:49:05.546110Z"
    }
   },
   "outputs": [],
   "source": [
    "from classiq import write_qmod\n",
    "\n",
    "write_qmod(qmod, \"max_k_vertex_cover\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "943291f0-6a9f-4286-a69d-ef13a0a12ef6",
   "metadata": {},
   "source": [
    "## Synthesizing the QAOA Circuit and Solving the Problem\n",
    "\n",
    "We can now synthesize and view the QAOA circuit (ansatz) used to solve the optimization problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1d71e29a-5d53-49c4-84b2-45f59be4da31",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:05.552136Z",
     "iopub.status.busy": "2024-05-07T15:49:05.550905Z",
     "iopub.status.idle": "2024-05-07T15:49:10.398718Z",
     "shell.execute_reply": "2024-05-07T15:49:10.398036Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Opening: https://platform.classiq.io/circuit/308cc52e-d608-47d6-9ccb-ceb9f2e932a2?version=0.41.0.dev39%2B79c8fd0855\n"
     ]
    }
   ],
   "source": [
    "from classiq import show, synthesize\n",
    "\n",
    "qprog = synthesize(qmod)\n",
    "show(qprog)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80238cf9-d7bd-46e5-9d48-b7cf23a6b304",
   "metadata": {},
   "source": [
    "We now solve the problem by calling the `execute` function on the quantum program we have generated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "62d12d20-1c80-4a9e-bb6b-b1fddc6cbe40",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:10.401335Z",
     "iopub.status.busy": "2024-05-07T15:49:10.400809Z",
     "iopub.status.idle": "2024-05-07T15:49:20.990694Z",
     "shell.execute_reply": "2024-05-07T15:49:20.990084Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import execute\n",
    "\n",
    "res = execute(qprog).result()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "620ea6a0-cd05-41a9-a2ed-9631c680d2e6",
   "metadata": {},
   "source": [
    "We can check the convergence of the run:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "02454398-b229-403c-824a-b1eb539fbc1f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:20.993567Z",
     "iopub.status.busy": "2024-05-07T15:49:20.993008Z",
     "iopub.status.idle": "2024-05-07T15:49:21.013136Z",
     "shell.execute_reply": "2024-05-07T15:49:21.012480Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=640x480>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from classiq.execution import VQESolverResult\n",
    "\n",
    "vqe_result = res[0].value\n",
    "vqe_result.convergence_graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "615ed612-b835-4bf0-aa92-92d30ef8006d",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Optimization Results"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "670eddd3-2da7-4a88-b571-7884ef24f60c",
   "metadata": {},
   "source": [
    "We can also examine the statistics of the algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "516d78ba-2951-46eb-b1af-efe877513556",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.015680Z",
     "iopub.status.busy": "2024-05-07T15:49:21.015305Z",
     "iopub.status.idle": "2024-05-07T15:49:21.093102Z",
     "shell.execute_reply": "2024-05-07T15:49:21.092387Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>probability</th>\n",
       "      <th>cost</th>\n",
       "      <th>solution</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.058</td>\n",
       "      <td>1.0</td>\n",
       "      <td>[1, 1, 0, 0, 1, 0, 1, 0, 1, 0]</td>\n",
       "      <td>58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.024</td>\n",
       "      <td>1.0</td>\n",
       "      <td>[1, 1, 0, 1, 1, 0, 0, 0, 1, 0]</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>272</th>\n",
       "      <td>0.001</td>\n",
       "      <td>2.0</td>\n",
       "      <td>[0, 1, 1, 0, 1, 0, 1, 0, 1, 0]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>0.001</td>\n",
       "      <td>2.0</td>\n",
       "      <td>[1, 1, 0, 1, 1, 1, 0, 0, 0, 0]</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>0.002</td>\n",
       "      <td>2.0</td>\n",
       "      <td>[1, 1, 0, 0, 1, 1, 0, 0, 1, 0]</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     probability  cost                        solution  count\n",
       "0          0.058   1.0  [1, 1, 0, 0, 1, 0, 1, 0, 1, 0]     58\n",
       "2          0.024   1.0  [1, 1, 0, 1, 1, 0, 0, 0, 1, 0]     24\n",
       "272        0.001   2.0  [0, 1, 1, 0, 1, 0, 1, 0, 1, 0]      1\n",
       "220        0.001   2.0  [1, 1, 0, 1, 1, 1, 0, 0, 0, 0]      1\n",
       "156        0.002   2.0  [1, 1, 0, 0, 1, 1, 0, 0, 1, 0]      2"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "from classiq.applications.combinatorial_optimization import (\n",
    "    get_optimization_solution_from_pyo,\n",
    ")\n",
    "\n",
    "solution = get_optimization_solution_from_pyo(\n",
    "    mvc_model, vqe_result=vqe_result, penalty_energy=qaoa_config.penalty_energy\n",
    ")\n",
    "optimization_result = pd.DataFrame.from_records(solution)\n",
    "optimization_result.sort_values(by=\"cost\", ascending=True).head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "687f492b-a4a5-49c6-964c-8959b035bb93",
   "metadata": {},
   "source": [
    "And the histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "31a4e74d-b2b8-42e0-826d-de7b51de1fe8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.095943Z",
     "iopub.status.busy": "2024-05-07T15:49:21.095378Z",
     "iopub.status.idle": "2024-05-07T15:49:21.326954Z",
     "shell.execute_reply": "2024-05-07T15:49:21.326200Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<Axes: title={'center': 'cost'}>]], dtype=object)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optimization_result.hist(\"cost\", weights=optimization_result[\"probability\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3a890a1-c5d4-409d-b9a3-d7ffd4fdd6c0",
   "metadata": {},
   "source": [
    "Let us plot the solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4326e84b-26f6-4ea9-a53b-090fb3658b8c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.329517Z",
     "iopub.status.busy": "2024-05-07T15:49:21.329322Z",
     "iopub.status.idle": "2024-05-07T15:49:21.332804Z",
     "shell.execute_reply": "2024-05-07T15:49:21.332219Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "best_solution = optimization_result.solution[optimization_result.cost.idxmin()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "2449caf6-d3c2-49b1-81cd-0e33e248cc18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.335350Z",
     "iopub.status.busy": "2024-05-07T15:49:21.334887Z",
     "iopub.status.idle": "2024-05-07T15:49:21.339246Z",
     "shell.execute_reply": "2024-05-07T15:49:21.338598Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 0, 0, 1, 0, 1, 0, 1, 0]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "best_solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "fed415f4-67ed-4a85-9138-553c75972ac8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.341589Z",
     "iopub.status.busy": "2024-05-07T15:49:21.341144Z",
     "iopub.status.idle": "2024-05-07T15:49:21.493854Z",
     "shell.execute_reply": "2024-05-07T15:49:21.493175Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def draw_solution(graph: nx.Graph, solution: list):\n",
    "    solution_nodes = [v for v in graph.nodes if solution[v]]\n",
    "    solution_edges = [\n",
    "        (u, v) for u, v in graph.edges if u in solution_nodes or v in solution_nodes\n",
    "    ]\n",
    "    nx.draw_kamada_kawai(graph, with_labels=True)\n",
    "    nx.draw_kamada_kawai(\n",
    "        graph,\n",
    "        nodelist=solution_nodes,\n",
    "        edgelist=solution_edges,\n",
    "        node_color=\"r\",\n",
    "        edge_color=\"y\",\n",
    "    )\n",
    "\n",
    "\n",
    "draw_solution(graph, best_solution)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "149932e1-bfa8-4c27-b5f9-037e74eba400",
   "metadata": {},
   "source": [
    "## Comparison to a classical solver"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dde1905d-aeff-4297-a9d3-ad14910e6161",
   "metadata": {},
   "source": [
    "Lastly, we can compare to the classical solution of the problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "5a7ca4b6-25a0-46dd-b5cc-de6a639a6f57",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.496514Z",
     "iopub.status.busy": "2024-05-07T15:49:21.496111Z",
     "iopub.status.idle": "2024-05-07T15:49:21.561467Z",
     "shell.execute_reply": "2024-05-07T15:49:21.560785Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from pyomo.opt import SolverFactory\n",
    "\n",
    "solver = SolverFactory(\"couenne\")\n",
    "solver.solve(mvc_model)\n",
    "classical_solution = [int(pyo.value(mvc_model.x[i])) for i in graph.nodes]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1894641b-b166-47da-a3b8-5851d9042054",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.564260Z",
     "iopub.status.busy": "2024-05-07T15:49:21.563927Z",
     "iopub.status.idle": "2024-05-07T15:49:21.568416Z",
     "shell.execute_reply": "2024-05-07T15:49:21.567758Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 0, 1, 1, 0, 0, 0, 1, 0]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "classical_solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a7524894-b5c5-42d4-8f92-a019bef5e7da",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:49:21.570739Z",
     "iopub.status.busy": "2024-05-07T15:49:21.570457Z",
     "iopub.status.idle": "2024-05-07T15:49:21.725756Z",
     "shell.execute_reply": "2024-05-07T15:49:21.724890Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Zd/DAA/n06qXMEPf1qFTtCQgoxGar/bnfQtQnq9XCsmUjgWdAZ+L3wyK41RNzavLXCZ2IusmCH+H4ZMhbCNEsVc+VHEdU1B7AFV/ftYwYMVXpWL8QHDwUD4/vSUs7RKtW/ZSOI1qY/PxLbN48kNat80lNHcrs2d+i1Tpj1l7kzW1JdW7/96PaMbWPzJ0UclKOEKIZOnz4Ey5cmEtIiIGMjKFMn/4Vrq6eSse6royM41y61IOKit9zzz1vKB1HtCAHD64kLW0erq5WnJ1fZPToP1/z+NpD6fxl0xksNvsNV35fj0atQqtW8dcJnaSYFD+SHkohRLNhMFSydu14IiO/o7pXcjUjRkxXOlaNoqK6c+iQmtLSPUpHES2EzWZj3brZ+PmtwmBwp3v3b2jTZvAvnjetTzSDWgfy3IZT7E0uRI0NWw0z4TRqFVabnYFxAbw6qYsMc4trSEEphGgWjhz5lPPn5xAVZSA9fQjTp29psr2SP1dcHIJGU/fhRSFupqKikE8+6Ud8fArJyR2ZMWM/bm7eN3x+lL87Kxb042JeBc8teZ2UqhiKTeHXLNlRUb1p+bC2wczsHy2rucV1SUEphGjSjEY9a9aMIzJyNyqVC15eK5g3b6bSsW6Jk1NnAgO/xWq1oNHI265oGOfOfcvRoxOIjDRQXPxrEhL+W+tr24R4cU/4u5hMwUyflcTlIh0miw1nrZrYAA85AUfclPyECCGarKNHP+Ps2dlERVWRnj6YadO+qrG3pamKjByBRvMt585to3PnsUrHEQ5o8+ZnUKv/gUbjRGjo53TvPumWrq+oKCQ8XEdBQT88XLR0CvdpoKTCUcm2QUKIJsdo1LN06XCKiiajVtuu9ErubZbFJEC3btWrzy9c2KRwEuFojEY9ixb1xsvrH+TkRDB6dMotF5MAR4+uQauFtm1v/VohQHoohRBNzLFj6zl9etaVXslBTJu2pdkWklcFBsaQl+dERcV+paMIB5KefpSdO4cRE1NOVta9zJ+/HrX69vqJ0tK+IjAQBg++t35DihZDCkohRJNgNOpZu3YC4eE70Ghc8PRcxrx5s5WOVW8qKiJwdk5ROoZwELt3v0tp6VN4e4OLy/vMmPFIndozm4+Tm+uPVutcTwlFSyMFpRBCcVd7JSMjq0hLG8D06Vubfa/kz7m59SAoaAMGQ2WzWZ0umh6bzcbKleOIiNhKSYkvo0btJSKic53bDArKp6hoSD2lFC2RzKEUQijGbDawbNlICgsfQKu14eGxlPnzf3C4YhIgJmY0zs5w6tRGpaOIZqqwMI0lSyKIjt5KWtoAZs7MqXMxCXDhwg68ve1ERIyqh5SipZKCUgihiOPHN7B2bQCRkdvJyOjPxIm59O8/R+lYDaZbt/uxWuHSpS1KRxHN0OHDn7BzZzwhIXno9S8wf/4PODm51kvbZ858is0GPXs2r+24RNMiQ95CiEZlNhtYvXoCYWHVZwq7uy9m/vx5SsdqcF5egeTkuGEwHFI6imhm1q2bh7f3UkwmN7p3/5a2be+s1/ZLS/dhMrlw110x9dquaFmkoBRCNJoTJzZy8uSDREbqSUvrx7RpW3F391U6VqMxGGJwc7usdAzRTOh0xaxZ05/4+IskJ7fjwQcPNMjvi7t7Knp9q3pvV7QsMuQthGhw1XMlR5OXdy9arQV394XMn98wH45NmZdXH0JDDZSX5ysdRTRxSUm72bAhkqioixQWLiAh4XyD/L4UFqYRGmrE1/eXZ30LcSukoBRCNKiTJzexZk0gkZHbyMzsy8SJeQwYsEDpWIqIjx+PRgMnTnymdBTRhG3Z8jwXLw7D2dlMYOAnPPDAwga719GjK1GroVOnKQ12D9EySEEphGgQZrOB5cvvJjd3Ik5OZtzcPmb+/MQW1yv5U127TsBggLS0b5SOIpogs9nA4sX9cXd/lZycMO66K5levRq20MvK2kZ5uYp27YY36H2E45M5lEKIenfq1JccOzaNiAgdly/3Ydq0rXh4+CsdS3FOTq7k5XlhNh9XOopoYrKyTrNt2xBiYkrJyBjL/Pmbb/vUm1tht5+moCC4Ue4lHJv8BAkh6o3FYmL58rHk5NyDs7MJV9cPWbDgoBSTP2GxtMbbO1vpGKIJ2bv3fQ4e7IavbzkazbvMmvVVoxR4FouJ0NBinJy6N/i9hOOTHkohRL04fXoLR49OITJSR2pqL6ZN2yaF5HX4+w/Ez+84eXkXCQlpo3QcoSCbzcaqVRMJD/+SsjIfhg/fTVRU90a7/4kTX+DuDjEx4xrtnsJxSQ+lEKJOLBYTK1aMIzt7HM7OJpydP2DBgsNSTN5A+/b3AnDixKfKBhGKKi5OZ/HiKKKivuTy5T7MmJHbqMUkQFLSBiwW6NlzeqPeVzgm6aEUQty26l7JqURGVkqvZC21azecS5dUFBXtAp5XOo5QwLFj60lKmk5YmJnKymdYsOB1RXLodImYzR54eQUqcn/hWKSgFELcMovFxJo19xES8hUuLk44Ob3PggWPKB2rWVCr1eTn+2G3n1E6ilDA+vW/xsPjQywWV+LivqJDh5GKZfH2zqCiou5ngQsBUlAKIW7RmTNfc/jwFKKiKklN7cmUKd9ID8cta4+//wFsNpusrm0h9PpSVq8eSHz8OZKT45k6db+ivzeZmScJDrbg4nKnYhmEY5F3MiFErVTPlbyHzMyxuLoacXL6DwsWHJFi8jaEhAzFz89GevoRpaOIRnDx4j7Wr48gOvoc+fmzmT//guK/N8ePrwKgW7cHFc0hHIcUlEKImzp79htWrQokIuJLMjN7MHZsNkOGPKp0rGarc+f7ATh9Wk7McXRbt77E+fNDcXU14ee3kilTljWJXum8vJ0UFWmIje2jdBThIGTIWwhxQxaLibVrpxAUtBFXVye02vdYsOAxpWM1ezExvTlyRE1p6V6lo4gGUt2jP5xWrfaRlRXMhAkHCApqpXSsH2m1FygpCVc6hnAgUlAKIa7r3LlvOXjwfqKiKkhN7c6UKd8qPkznSEpKglGrzysdQzSAnJxzfP31YGJiiklLG8XcuV+h0TSdj9uqqnLCwiooKFBuQZBwPMr3uwshmhSLxcTKlfeSnj4KN7cqNJp/sWDBMSkm65lW25ng4BKsVovSUUQ9+v77j9i/vzMBASWoVG8yZ843TaqYBDh27FOcnSE+fqLSUYQDkYJSCPGj8+d3sHJlEJGRG8nI6MqYMVncccfjSsdySBERw/HwgAsXdigdRdSD6lNv7qeq6mEqKjzo3v0gd931lNKxrislZTMGA3Tv/oDSUYQDkYJSCIHVamHVqvu4fHkE7u564F0SEk7g7R2sdDSH1a3bVADOn/9C2SCizkpLs1m8OJaIiM9JS+vJtGm5xMT0VjrWDRkMR8jN9cHFxV3pKMKBNK1+eCFEozt/fgcHDtxHbGw5ycldmDJluxSSjSAoqBV5eU5UVOxXOoqog5MnN3HmzGTCw02Ulz/JggVvKR2pRjabjYCAHEpK+ikdRTgYKSiFaKGsVgtr104lIOBzPDy0wDskJPxO6VgtSkVFOE5Ol5SOIW7Thg2P4+r6b+x2F2JittCp091KR7qpS5d+wM/PhqvrCKWjCAcjBaUQLdCFCzvZv/8+YmPLSE7uwuTJ2/DxCVU6Vovj5taDwMAvMBr1MvzYjFRVlbNq1WDi40+RnNyKKVMONJte/dOn1+DnBz16zFA6inAwModSiBbEarWwevUDpKYOx8NDh93+FgkJJ6WYVEh09ChcXODUqY1KRxG1lJKyn3XrwomOPkVu7nTmz09uNsUkQFHRXnJznQkNbad0FOFgpKAUooVIStrNihWBhIevJzOzM6NGZTBs2JNKx2rRunefjNUKly59pXQUUQvffvsap08Pwt3dgLf3UqZNW90kTr25Fa6uyVRWxigdQzggGfIWwsFZrRY+/fRBfH3X4eGhxWZ7k4SEprmdSUvj5RVIbq4rVVWHlY4iamC1WlixYiTR0bspLAxk3LgfCAlpo3SsW1ZWlktYWBWFhf2VjiIckBSUQjiwpKQ9fP/9RFq1KiU5uRMPPLANX185bq0pqaqKwc0tTekY4gZycy+wZcsgYmOLSE+/q0luVF5bR46sQqOB9u3vVzqKcEDNq69eCFErVquFNWumcOnSHXh5VWC1vkFCwmkpJpsgL6/ehIYaqKgoVDqK+Jn9+5ewb18nAgOLsVpfZe7cHc22mATIyPganQ46dx6ndBThgKSgFMLBJCXtYfnyIMLC1pGV1YERI9IZPvz3SscSN9C69Tg0Gjh+fJ3SUcQVNpuNNWumUVk5H73elS5d9jNy5B+VjlVnFstJ8vICm3VRLJouKSiFcBDVvZLTf9Ir+ToJCWelV7KJ69JlIkYjpKdvUzqKAMrL81m8uDVhYZ+QltaVKVNyadWq+W8CbrVaCAkpRK3uqnQU4aDka4oQDuDixX3s2zeBVq1KSE7uwAMPbJdCsplwcXEnN9cTs/mY0lFavNOnt3Dq1H1ERBgpLX2chIR/KR2p3pw5swVPTztubmOUjiIclBSUQjRjNpuNTz+dibf3Gry9NVgsr5GQ8KzSscQtMptb4+V1VukYLdrGjU/i5PQO4ExExEa6dp2gdKR6df78egICoFcv2dBcNAwpKIVoppKTv2fv3nuu9Eq25/77v8XPL1LpWOI2+PsPxN//BPn5lwgObq10nBbFaNSzcuVgWrc+RnJyNJMnJzrkRv/l5fsxmdxk5EI0GJlDKUQzY7PZWLt2BklJg/H2LsdsfpWEhHNSTDZj7dtPBODEiU8VTtKyXL58iLVrQ4mOPkZ29v3Mn5/qkMUkgIdHGgaDfFkRDUd6KIVoRlJS9rN793ji4opJTm7Hffdtw98/WulYoo7atRtOaioUFu4Emv9q4uZgx45/UFn5Bzw91Xh4fMzIkQlKR2oweXkXCQszUVw8ROkowoFJQSlEM2Cz2Vi3bi5eXivw8dFgMv2NhITnlY4l6olGoyU/3w+b7bTSURye1Wph5cq7iYzcTlGRP3ffvY+wsA5Kx2pQx46twtUVOneepnQU4cCkoBSiibu2V7It9933rfRKOiC7vT1+folKx3BoBQWpbNrUn9at80lNHcrs2d+i1TorHavBZWd/i5+fmqFDBysdRTgwmUMpRBNls9n45JPZnD8/EB+fMkyml0lIuCDFpIMKDh6Cv7+NtDQ517shHDy4kt272xIcXIDR+BLz5n3XIopJAJXqLEVFoajV8pEvGo78dAnRBKWmJrJ0aTAhISvIzm7DsGEpjBr1gtKxRAPq3PkBAE6fXq9wEsdS/cVsJqWlszAYnGnffg+jR/9Z6ViNxmjUExZWiotLT6WjCAcnQ95CNCE2m43PPpuPh8cyfH3VGI0vkZDQcj78WrLo6F4cO6ampGSP0lEcRkVFIZ980p/4+EskJ3dkxoz9uLl5Kx2rUZ048TmurhAXd4/SUYSDk4JSiCbi8uVD7Nw5lri4QpKT23Dvvd8SGBijdCzRSNRqNcXFwahU55WO4hDOnfuWo0cnEBlpoLj41yQk/FfpSIpITv6CwEDo108W5IiGJQWlEAqz2WysX78Ad/el+PqqMRheJCHhL0rHEgrQajsRELATm80m893qYPPmZ1Cr/4FG40Ro6Od07z5J6UiK0esPkZPj1eJ6ZkXjk3csIRR0+fIhliwJJShoKTk5rRkyJJkxY6SYbKnCwobh6WnnwoUdSkdploxGPYsW9cbL6x/k5EQwenRKiy4mAXx9s7BY2ikdQ7QAUlAKoYDqfSXnc+ZMX/z9izAY/kJCQjJBQa2UjiYU1L179bDk+fNfKBukGcrIOM6aNWHExBwhM3Mi8+ent/jToy5fPkRgoJWQkLuUjiJaABnyFqKRpaUdZvv2sbRuXUBychwTJ26XQlIAEBzcmt27tVRU/KB0lGZl9+5/Ulr6JN7e4OLyPjNnPqJ0pCbhxIk1+PhA9+4zlI4iWgApKIVoJDabjc8/fxg3t4X4+6vR618gIeFlpWOJJqa8PBwnp0tKx2gWbDYbK1eOIyJiKyUlvowatZeIiM5Kx2oyCgt3YzJpufPOrkpHES2AFJRCNILqXslxtG6dT3JyHBMmbCM4uLXSsUQT5Orag8DAjRiNelxc3JWO02QVFqaxcWN/WrfOJSVlALNm7cTJyVXpWE2Kk1MSZWUte9hfNB6ZQylEA6reV/IhTp3qi79/4ZVeyUtSTIobiokZhasrnDq1WekoTdbhw5+wc2c8ISF56PUvMH/+D1JM/oxOV0x4uA4Pj35KRxEthBSUQjSQ9PSjLFkSRmDgQnJzYxk0KImxY2WIW9SsW7cHsFrh0qWvlI7SJK1bN5+iommYTE60bbtTfqdu4MiR1Wi10KZNy17lLhqPDHkLcYXOaOFykQ6TxYazVk1sgAceLrf+K2Kz2diw4VFcXD7C31+FXv8cCQmvNEBi4Yi8vYPJzXWlquqQ0lGaFJ2umDVrBhAfn0RycjsefPAA7u6+Ssdqsi5f/orAQBg0aKLSUUQLIQWlaNEu5lWwKjGdXRfySS/WY//JYyog2t+dYe2CmdEvmjYhXjdtLyPjONu2jaF16zySk2OZMGG7DG+LW1ZVFY2ra5rSMZqMpKTdHDw4lqioKgoK5pGQsFjpSE2e2XycvDw/mQogGo0UlKJFyijW89yGU+xNLkSjVmG12X/xHDuQVqxnRWIaS/dfZkh8IK9O6kKU/y8XSthsNr744v9wcvqQgAAVOt2zJCS81givRDgiT8/eBAUlUVFRiJdXoNJxFLVly/PY7a/i7KwlIGAto0dPVTpSk2ez2QgMzKO4eLDSUUQLInMoRYuz9lA6I975jh9SigCuW0z+1NXHf0gpYsQ737H2UPo1j2dmnmTJkgj8/T8gLy+aAQPOM26cFJPi9rVuPRaNBk6cWK90FMWYzQYWLx6Au/ur5OSEcdddyfTuLcVkbSQl7cLHx05ExCilo4gWRApK0aL8e9dFnv38FEaL7aaF5M9ZbXaMFhvPfn6Kf++6eGVfyUc5dqw7AQF5VFY+Q0LCZUJC2jRQetFSdO06CZMJ0tK+UTqKIrKyTrNyZRgxMQfIyBjL/PmZBAbGKB2r2Thz5hMAevacpXAS0ZLIkLdoMdYeSufNbUn10tab25I4d+x5JvdcR3JyNOPHbyM0VM7LFfXDxcWd3FxPTKajSkdpdHv3vk9h4eP4+YFG8y6zZv1W6UjNTknJPoxGF+68U4pw0XikoBQtQkaxnr9sOlPjc4y5yZTtW40x8yx2ixmtbwie3cfg3XvCdZ5tZ1vhNHoXtCch4a8NE1q0aCZTHF5e55SO0WhsNhurV08iLGwTZWU+DB++m6io7krHapbc3FLR6+U4V9G4pKAULcJzG05hqWGIuyr1KPmf/RXnkNb4DJyGytkVS2ku1orCG1yhwoYLO8vHMa9hIosWzs9vAAEBJyksTHP44d6SkkzWr+9PfHwWly71YfbsPbI6+TYVF6cTFmaguHiQ0lFECyMFpXB4F/Mq2Jt8o8IQbEY9hV++jVvrPgRN+iMqVe2mFlvtsDe5kOT8CuKDb76lkBC3on37iRQUfMiJE58wfPgzSsdpMMeOrScpaTphYWYqK59hwYLXlY7UrB05sgonJ+jYcbLSUUQLI4tyhMNblZiORq264eO6s7ux6UrxGzoblUqNzWTAbrfVqm2NWsXKA+k3f6IQt6h9+5HodJCZuV3pKA1m/fpfk5f3ABaLhri4bYwfL8VkXWVlfUN5uYr27UcqHUW0MNJDKRzergv5Na7oNlw+jsrFHUtlEfmf/w1LcRYqJ1c8Og/Df/hDqLTON7zWarOzKymfF+nUENFFC6bRaMnP98NqPa10lHqn15eyevVA4uPPkZwcz9Sp+1v8fpv1xWY7RUFBMGq19BeJxiU/ccKhVRotpBfra3yOuTgbbFYK1r+MW6ueBE16Ds+uI6k89jWFX71703ukF+nRGS31lFiI/7Hb2+Hvn6d0jHp18eI+1q+PIDr6HPn5s5k//4IUk/XEYjERGlqMk1N3paOIFkgKSuHQ0op03Gy3SbvZgN1sxKPzXfiPfBj3dgPxH/kwnt3HoD+3B3NxVs3XA5eLdPWWWYirgoKG4O9vIz3dMbYP2rr1Jc6fH4qrqwk/v5VMmbJMetLq0cmTm3B3h5iYcUpHES2Q/CYLh2ay3Hwu5NUhbY8Od1zz5x4d7wTAmHW+Xu4jxK3q3Pl+AE6d+kzhJHVjsZhYsmQIrq4vkp8fxJ13JtGnzwylYzmcpKTPsVigZ8/pSkcRLZAUlMKhOWtv/iOu8Qyo/l8P32v/3MMHAJuhsl7uI8StionpQ2mpmvz8PUpHuW05OedYvjyM6Oh9pKWNYu7cLIKCZI/EhlBZmUhOjrtMIRCKkE9B4dBiAzy48fruas6hrQGwVBRd8+eWimIANO4+NV6vunIfIeqbWq2mqCgIu/3mveRN0ffff8QPP3QhIKAElepN5sz5Bo1G1oI2FG/vdIxGOfpVKEMKSuHQPFy0RPu71/yc9kMAqDy57Zo/rzy5DdQaXKK71Hh9oGs2n6wKZcWKcRw+vAarVRboiPqj0XQiKKgYm635TKuw2WysWnU/VVUPU1npTvfuB7nrrqeUjuXQsrJOExxsITDwjps/WYgGIF8VhcMb1i6YFYlpN9w6yDm0NR5dR6I7+S0FNhuu0Z0xpJ9Cf34f3gMmo/UKuGHbapWd1u5FgIqgoC1UVm7hq69mkJ8fiZfXnfTokUDbtkMb6JWJliA8fBjOzjtJStpF+/bDlY5zU6Wl2Xz2WX/i4zO4dKknM2fuxcWl5i91ou6OH1+Fhwd06/ag0lFECyU9lMLhzegXXeM+lAABo/8Pn8EPYsy+QPH2jzHlXcJv+EP43TGnxutsdhW9vA8xbtwP3HFHGfAuRUWDcHYuITBwBdnZd/Dpp04sXNiBjRufJC/vYj2+MtESdOs2FYBz575QNkgtnDy5ia+/bkV4eAZlZU+wYMERKSYbSW7uDoqKNLRq1U/pKKKFkh5K4fBC3SHAnE+h2h/VDeZvqTRafAc/iO/g2n+716gg2vUiXWI+59ixz8nM7Madd/6HO+/8LQCFhWkkJn5IefmXeHhcwMfnHc6ceYdt29wwm7sQHT2JAQN+hYeHf728TuGYQkLa8N13Wioqvlc6So02bHgcV9d/Y7e7EBOzhU6d7lY6Uoui0VygpCRc6RiiBVPZ7fabbdMnRLO1a9cu5s+fT5ERguf+C4u9/jrlXbRqtj9xB06mDLZufZiAgD24u9tJTY2lZ89/0LPnA9c8//LlQxw+/BGlpTsICEjDz8+GyQRZWX6o1X1o1+5BeveejraGk3lEy7RwYTROTqXMmVOudJRfMBgqWblyIPHxp0hObsWUKQfw9g5WOlaLYjBUsmePFwUFk5gx43Ol44gWSgpK4ZB0Oh1//OMfee+997jjjjtYvHgxB4u0PPv5qXq7x+v3dWFqn+gf///y8nw2b34EF5eNBAZauXQpiNatn2fo0Md/sXmzzWbj1KnNnD69DIPhe8LC8nF3h8pKFbm5YXh4DKV79/m0azdcNn4WrFhxD0FBXzJ8eBVOTq5Kx/lRSsp+9u0bSWiojuLi6UyZslJ+XhWwf/8ijMYEXF2X0r9/zdN0hGgoUlAKh/P9998zd+5csrKy+Pvf/85jjz3244fcv3dd5M1tSXW+x+9HteP/hsVf9zGjUc9XXz1FVdVSIiIMpKd74O//f9x99ys33DLFaNRz8OAyLl36FDhKZGQ5Wi0UFmooLY0jIGA0ffs+TERE5zpnF83Pnj3/xmZ7HG/vdb/o+VbKt9++RlXV85hMaiIjF0kho6CVK+8lMHAjw4bpZM6qUIwUlMJhVFVV8ac//Ym3336bAQMGsGTJEtq2bfuL5609lM5fNp3BYrPfdLHOT2nUKrRqFX+d0OmanskbsdlsbNv2Mrm57xAbW0ZurjNq9XTuuedfuLl513htaWk2Bw58RFbWJtzczhIebgQgK8sVg6ETkZET6N//V/j4hNY6v2i+ysvzOXQohKKi2UyZskzRLFarhRUrRhEdvYvLlwMZN+4HQkJk70MlLVwYiVZbydy5pUpHES2YFJTCISQmJjJ37lxSU1P529/+xhNPPIFGo7nh8zOK9Ty34RR7kwvRqFU1FpZXHx8SH8irk7oQdZN9La/nhx8Wcvbsn4mLy6G0VI1ON4bx4z/Ezy+yVtdnZBzn0KGPKC7+Fj+/VAICrJjNkJXlA/SiTZup9O07u0kNh4r6tXq1K3p9KxISzimWIS/vIl99NZDY2ELS0+9i1izZqFxpNpuNL75worS0L/Pn71c6jmjBpKAUzZrRaOTFF1/kjTfeoFevXixbtowOHTrU+vqLeRWsSkxnV1I+aUU6+Mm5OiogOsCdYW2Dmdk/mvhgrzrnPXPma/bv/x0xMUmYTJCX159Roz4kMrJrrduw2WycO/cNJ08uQafbR1hYDh4eoNNBbm4obm6D6NJlLp06jZX5bA5k4cK2uLpmMnOmXpH779+/hKysh3B2tuHm9gojR/5RkRziWsnJ35OZORi9/gXGjn1Z6TiiBZOCUjRbR44cYc6cOSQlJfHiiy/yzDPPoNXefm/JZ188i079KVExmwgJiiI2wAMPl4bpfUlPP8q33/6asLBDaLWQnt6eQYP+RYcOI2+5LbPZwOHDq0hKWovNdpiIiFKcnaG4WE1xcSx+fiPp0+dXREf3bIBXIhrL2rUPEhS0hv79ixp1qymbzcYnnzxIYOAn5OR4MGTIDtnrsAnZsOFx/Pz+Tfv25wkNbad0HNGCSUEpmh2TycQrr7zCK6+8QteuXVm2bBldutR8PGJtXH1j7tkzr9G2PSksTGPLlofx9v4Wb28bKSkRdO78Sp0WOJSX53PgwMdkZHyBi8sZIiOrAMjJcUGna094+D0MGPBwrYfbRdNw8OBK9PpZODl9yKBBv2qUe5aX5/Ppp/2Ij79McnJXZs78HldXz0a5t6idhQu74ul5nmnTTEpHES2cFJSiWTl58iRz5szh9OnTvPDCCzz33HM4OTnVS9uffZZAYOAiBg1q/K1Z9PpSNm9+DPiUkBAzqam+REQ8zYgRf6zzsHVOzjkSEz+gsPAbfH2TCQy0YrVCZqYXNlsPWreeTN++c6VQaOL+t9fgfcyYsb7B73fmzNecODEJPz8jRuPj3Hvvvxr8nuLWrVjhjtEYQUKCnMIllCWzqUWzYLFYeP3113nppZdo3749iYmJ9OxZv0O4FksVViuKLGxxd/dl6tSVWCyL2bLlj2i1H+Ds/AKrV7+Ch8cCxo//x23nCgvrwL33/hOoHr68eHE3x44twmz+jpCQvdhse9i163Gys4NwcRlIp06z6NZtksy/bGJcXT3JzfXAZDrW4PfauPFJnJzeQaVyJiJiI127Tmjwe4pbV1aWS3h4FYWFA5SOIoQUlKLpO3v2LHPmzOHo0aM8++yz/PnPf8bFxaXe72O1GjCb673ZW6LVOjNhwlvYbP/gu+/exWR6lcjIf/PFFx9gsUxi/Pj38fIKvO321Wo17drdRbt2dwFgsZg4evRT0tNXoVIdJDh4I2VlG9m0SUVhYTQ+PnfRq9dDxMXJB1ZTYDLF4el5vsHaNxr1rFw5mNatj5GcHM3kyYmyNVUTdvToajQaaN/+fqWjCCFD3qLpslqtvP322/zpT3+iVatWLFu2jL59+zbY/VasGIef39eMH29rsHvcjsOHP+H48T/QqlUaOp2K4uJh3H33Bw2y959OV8yBA4tIS/scJ6eTREToUashN9eJysp2hITcTf/+jxAU1Kre7y1ubv36XxEQ8DGdO18mMDCmXttOSzvM7t13ER5eQUHB/Uyb9qn0Ujdxy5aNJDBwO2PGmGX7JqE4KShFk5SUlMTcuXM5cOAATz31FC+//DKurg07FL1s2Qh8fHZx773WBr3P7UpK2sOePY8RFXUKmw2ys7szbNj7Ddp7mJ9/icTED8jL24KX10VCQsxYrZCV5YHF0pXY2Pvp338B7u6+DZZB/M/p01soLByH1foGw4f/vt7a3bHjH1RW/gGLRU1Y2AcMHJhQb22LhrNoUTAqlZ358wuUjiKEFJSiabHZbPzrX//ij3/8I1FRUSxdupSBAwc2yr2XLBmCl9d+HnjA0ij3u105OefYuvVhAgP34eZm5/LlOHr3fpPu3Sc1+L0vXtzHsWMLKS/fRVBQBj4+doxGyMryR6vtR4cOM+jZc6r0ljQQq9XC1q1OFBaOYs6cb+qlvZUrxxIZ+S1paf7cffc+wsJqv4+rUI7VamHLFmeKiu5k7tydSscRQuZQiqbj0qVLzJs3j7179/Kb3/yG1157DXf3xjuX1mYzYrU2/SG+sLAOzJu3h7KyXL788hH8/DZTWnofixYF06bNnxg8+NEGG6ps02YwbdoMBqo/0I4f/5zMzFXY7fsJDv4ane5rvvpqFvn5EXh53UGPHr+ibduhDZKlJdJotOTn+2K1nqpzWwUFqWza1J/WrfNJTR3K7NnfotU610NK0RjOnt2Kl5cdd/cxSkcRApAeStEE2Gw2PvjgA5555hmCg4NZsmQJd9xxR6PnWLiwO+7u53nwQUOj37sujEY9X375O4zG5YSHG0lL8yQw8HHGjPlro/YUGgyVJCYuISVlHWr1MSIjK9FoID9fS3l5PEFBd9Ov38Oy+XIdLV7cDx+fI9x//+33pB88uJK0tHm4ulpxdn6R0aP/XI8JRWP49NO5BAQso2fPDNlTVjQJUlAKRaWlpbFgwQJ27NjBI488whtvvIGnpzL7IS5c2BEXlzRmzdIpcv+6stlsbNv2V3Jz3yE2tpycHGe02ge55573FNljsrg4nQMHPiQ7+0s8PM4TFma6MvfTDaOxM9HRk+jf/6E6rVpviTZv/j1eXm/SuvUxoqK639K1NpuNdevm4ue3grw8d/r3/+bHHmfRvCxc2BY3twxmzKhSOooQgBSUQiF2u51Fixbx5JNP4uvry+LFixkxYoSimRYubIOTUx5z5pQrmqM+fP/9R5w//xdat86luFiNTnc348d/oGhPRlraYQ4f/oiSkh0EBFzGz8+GyQRZWb6o1X1o23Y6ffrMkGHXm0hJ2U96+kD0+ucYO/aVWl9XUVHIJ5/0Jz7+EsnJHZkxYz9ubt4NmFQ0pDVrXNDp2pCQcFrpKEIAUlAKBWRmZvLQQw+xdetWFixYwFtvvYWPj4/SsVi4MBaNpox580qUjlJvTp36ksTEJ4mJuYjJBHl5Axg9+iMiIjormstms3H69JecOrUMg+F7wsLycHeHykoVubmheHgMpVu3ebRvP1K2rvkZm83Gpk1aSkoGMW/e3lpdc+7ctxw9OoGAAAN6/a+5777/NnBK0ZDy8y9x9mw8xcXybymaDlmUIxqN3W5nxYoV/OY3v8HDw4MtW7Zw9913Kx3rJ8zY7Y71K9Gly3i6dBnP5cuH2LHjEcLC9nPmTBe+/roDgwe/R/v2wxXJpVar6dp1wo8nsBiNeg4dWkFh4SdotUcICvqE/PxPOHdOQ0lJHAEBI+nb9xHFC+GmQK1WU1QUhEp1rlbP//LLP6BSvYFG40Ro6OeNshuAaFhHj67E1RU6d56qdBQhfiQ9lKJR5Obm8qtf/YrNmzcze/Zs3n33Xfz8/JSOdY1Fi0IANQsW5CgdpcEUFKSyZcvD+Phsx8vLTmpqJF27vkbfvjOVjnaNsrJc9u//kKysTbi6niUionqhVFaWKwZDRyIiJjBgwMMt9hSXpUvvIiBgN+PGWW7Yg2s2G1i+fAitWx8mOTmC++8/IIs3HMSSJYPx89vPhAlm6cEXTYYUlKJB2e121q5dy2OPPYaTkxMffvghEydOVDrWdS1eHIDN5kFCQrrSURqcTlfM5s2PoVavIzjYQmqqH5GRv2f48D80yQ+ozMyTHDr0IUVF3+Lnl0JAgBWLBTIzvYFexMdPpU+fWbi4NN42U0r65pu/4uLyF8LCdvx4jOZPZWQcZ8eOO4iMLCc3dyIPPvh5k/x3FbdnyRI/rFY3EhKylY4ixI+koBQNJj8/n0cffZT169czbdo03nvvPQIDm+6K3qVLfbBYAklIuKR0lEZjsZj46qtnKS//kKgoPZmZbnh6JjBu3Bs4OTXsyUS3y2azcf78t5w4sQSdbg9hYTl4eIBeDzk5Ibi6DqJLlzl07jzeYYuo3NwLnD/fntLSx7n33n9d89ju3f+ktPRJbDYICvo3Q4Y8olBK0RDMZgM7drhRUDCOWbO+VDqOED+SglI0iPXr1/PII49gt9t5//33mTx5stKRbmr5ck9MpkgSEs4rHaXR2Ww2du16i7S0vxMXV0x+vhar9X4mTHgfDw9/pePVyGw2cPjwGpKS1mCzHSIiohRnZygpUVNUFIuf33B69/4VMTG9lY5ar9atc6K8vBsLFhwGqv8NV64cT0TE16Sn+zJq1F6Zc+qADh1ahU43E632AwYPfljpOEL8SApKUa+Kiop4/PHHWbNmDffddx///e9/CQ4OVjpWraxa5UZVVRsSEk4qHUVRhw6t4sSJP9KqVQaVlSpKS+/i7rs/JDi4tdLRaqWiopADBz4mPX0DLi6niYys3qcvJ8cZna494eHj6d//Yfz9oxVOWjcLF0aj1ZYxd24ZhYVpbNzYn9atc0lJGcCsWTubbA+zqJvVqycTGPgZgweX4O7uq3QcIX4kBaWoN5s2beJXv/oVJpOJf//730yfPh2VSqV0rFpbu9YFna7Ljz0+Ld2FCzvZu/c3REWdubIheU/uuut9WrXqp3S0W5KTc46DBz+ioGArPj7JBAVZsFohM9MTm60HcXGT6ddvniKbv9fFihXjCQr6Cl/fZaSnL8Dd3Ypa/Txjx76sdDTRgBYujMXJqYg5cyqUjiLENaSgFHVWWlrKb3/7W5YvX8748eP56KOPCAsLUzrWLVu3zomKij7Mn/+D0lGalOzsM3zzzcMEBf2Aq6udy5db07fv2z9u+dPcJCXt5tixhVRUfEdISBZeXnYMBsjKCsLFZQAdO86iW7d7G/XYytvx3XfvYbf/BpMJ8vPd6Nt3C23b3ql0LNHAPvtMS1lZd/niK5ocKShFnWzdupWEhAQqKyv55z//yezZs5tVr+RPbdigoazsDubO3al0lCaptDSbL798FDe3LwkIsHLpUght2/6ZIUMeVTrabbNaLRw9+gnnzq3CYkkkIqIYFxcoLVVRWBiNj88wevX6FXFxA5SOeg2drpjVq/vQpk0Kly97M2VKmgx/tgBpaYdJTe1DRcXvueeeN5SOI8Q1pKAUt6W8vJynnnqKhQsXMnr0aBYuXEhkZPPe427zZjUlJaOZPftrpaM0aQZDJV9++QRm8wrCwoykpXkRFPQ4o0e/1OR79W5Gry/lwIFFXL68Hq32JJGROtRqyMtzoqKiLSEhY+nf/xGCglopljEpaTcHD44lKKgKnU5NcXE7EhLOKpZHNJ5Nm57C2/vt2zrHXYiGJgWluGU7duxg/vz5FBcX8/bbb5OQkNBseyV/6uuvVRQX38uMGRuUjtIsWK0WvvnmJQoK/klMTAU5OS44Oc1k/Ph3m918xBvJz79EYuKH5OVtwcsriZAQM1YrZGV5YLF0JTb2fvr3X9BovYNbtvwJm+0V9HoNcXErOX78BVxcspg1S98o9xfKWrSoF97eJ5k82ax0FCF+wTE3aRMNorKykkcffZQRI0bQunVrTp06xUMPPeQQxSSAkxOo1bIytrY0Gi1jx77MnDnlaDTvo9f7Ehi4iK++8mXlyomUljb/TZeDg1tzzz1vkJBwmqlTTURG7qO4eC4mUyABAQdQq59m714/Fi8OYPnysRw6tAqr1VLvOcxmA4sXD8Dd/W/k5oZy113J9O49FQ+P3oSFVaHXl9b7PUXT4+R0gbKy5j0SJByX9FCKWtmzZw/z5s0jNzeXN954g0ceecShNo22Wi3s3etEQcFcJk9eonScZuvEiY0cOvQUsbGXMBhUFBQMZNSoDxxyP0Sr1cKJE19w9uwKjMb9REQU4OoK5eUq8vMj8PK6gx49Euq8UCYr6zTbtg0hOrqU7OyxzJix+cffvcTE5VRVzcHZ+WMGDkyoh1clmiqdrpgffgigsHAq06evVTqOEL8gBaWokV6v57nnnuNf//oXgwcPZsmSJbRu3Tz2I7wVOl0xhw4FUFz8CPfd977ScZq91NREdu58lPDwo6jVkJHRkSFD3rvuMYGOwmCoJDFxCSkp61CrjxEZWYlGAwUFWsrK4gkKGkO/fr8mNLRdrdvcu/d9CgsfR6UCX9+3ufPO3/7innv2eFFYeD8PPvhZfb8k0YTs3fs+Vuv/4em5lt69pyodR4hfkIJS3ND+/fuZM2cOGRkZvPrqq/z2t791qF7JnyosTOP06VjKy59kwoS3lI7jMPLzL/H11w/j67sTT087qalRdOv2Gn36zFA6WoMrLk7nwIEPyc7+Eg+P84SFmQDIzHTDaOxMdPQk+vd/CC+vXx5HarPZWL16EmFhm8jI8GH48N03XIRRfcJTSIs6MrQlWr58LEFBXzNiRJVsWi+aJMesDkSdGAwG/vCHPzB48GACAgI4fvw4TzzxhMMWkwBGY/UmwVqtu8JJHEtwcGvmzNnOiBGF5OdPw9s7B51uJosXB7BjxxvYbDalIzYYf/9oxo59hYSEE0yfbqRVq0MUFT2EwRCGv/8RnJyeY//+IJYs8WPZslHs378Ei8VESUkmixdHExm5icuX+zBjRm6NK3pNpjg8PTMb74UJRZjNx8jN9ZNiUjRZ0kMprnHo0CHmzJnDpUuXePnll3nqqafQaDRKx2pwKSn7SU8fiNn8KiNH/lHpOA7LbDbw1Vd/oLLyYyIjq8jIcMPb+2HGjXsdrdZZ6XiNxmazcfr0l5w6tQyD4XvCwvJwdwe9HlQqUKuhqGgy06atvekXuc8+e4jAwIV07ZrW7I+TFNdns9nYtElLSckg5s3bq3QcIa7LcbucxC0xGo288MILDBgwAHd3d44ePcozzzzTIopJAKOxEgAnJ+mhbEhOTq7ce+8/efDBSiyW17BYXPHxeZfPP/dgzZrp6HTFSkdsFGq1mq5dJzBjxnoWLMhl+HAdqalDcHKqLig1GggPX8eGDc4sXNiWDRv+j6ys09dtq23bewA4fnxdY74E0YguXtyNr6+d8PCRSkcR4oakoBQcP36cPn368MYbb/Diiy+yf/9+OnXqpHSsRnW1oHR29lA4ScugVqsZMeJZ5s0rxs1tGeXloQQHr+XbbwNZtmwkBQWpSkdsNFVV5axY0YdWrfaSlhbPoEEF9OmTg8HwIqWl3XBzy8DP730uXuzCqlVuLFrUi61bX6KsLBeAjh3HoNdDZuZ2hV+JaCinT38KQM+esxROIsSNyZB3C2Y2m3nttdd4+eWX6dSpE8uWLaNbt25Kx1LEwYMr0etn4em5mt69pysdp0U6f34H+/b9hujos1gskJPTi+HD/0tsbB+lozWYixf3ceDAaEJC9JSWzuaBB5Zcd4g7M/Mkhw59SFHRt/j5pRAQYMVigcxMb6AXWu0BDAYfEhJyGv9FiAa3cGEnPDwuMX26QekoQtxQ8z4nTdy206dPM2fOHE6cOMFzzz3HCy+8gLNzy5nD9nMmkw6QHkoltW8/nPbtz5CVdZpvvnmYkJD9XLzYl+3b4+nX7x26dBmvdMR6tXXrS5jNL+HqqsHPbyWjRt145XtkZFciI/8DVM+nu3BhB8ePL8Zi2UNo6G48Pe3YbFUsWhSKq+sgunSZQ+fO4x16IV1L4uaWgk4Xq3QMIWokPZQtjMVi4R//+Acvvvgibdq0YdmyZfTq1UvpWIrbtettVKqnCAvb4dB7JTYnpaXZbN78MB4eW/D3t3HpUijt2r3I4MEPKx2tTiwWEytWjKBVq71cuhTMhAkH6nQ2uMViYtWqCcTEfMPly96Eh5fj7AwlJWqKimLx9b2LPn0eJiamdz2+CtFYSkoyOXYsiqKieUyevFjpOELckHx9bUHOnz/PoEGDeOGFF3jiiSc4cuSIFJNXmM3VZyG7uHgpnERc5esbzqxZmxk7toyCgnm4uxdjsfyapUt9+PrrPzfIEYcNLSfnHMuXhxEdvZe0tFHMnZtVp2ISQKt1ZtCgPwEQHPwbBgwowGJ5jZKS3ri45ODvv5DU1D6sWePCwoXd2LLleYqL0+vj5YhGcOTIStRq6NhxstJRhKiR9FC2AFarlXfffZfnn3+e2NhYli5dSv/+/ZWO1aR89dVzeHi8Rrt2ZwkL66B0HHEdVquFrVv/TGHhe8TEVJKd7YKz8yzGj38HV1dPpePd1Pfff0Ru7qNotTa8vP7BXXc9VW9t22w2Nm/WUlw8mHnz9lzzWG7uBRITP6Sg4Gu8vZMJDrZgtUJmpic2Ww/i4ibTr9+8ZvF32BItXTqMgIDvGDfOIlMYRJMmBaWDu3jxIvPmzeOHH37giSee4G9/+xtubm5Kx2pyNm58Ah+fd+nWLQM/v0il44ga2Gw29u17n4sXX6Z163yKijRUVY3nnns+wMcntEHuqSsqJffIKSxVBrRuroT26oJHgG+t865ZM5mQkM/JyvLizjt3Nsjw86JFwahUdubPL6jxeUlJuzl2bDEVFbsJDs7E29uOwQBZWUG4uAygY8dZdOt2LxqNTLFvChYvDsRu17BgQZ7SUYSokbxjOCibzcZ//vMf/vCHPxAeHs53333HkCFDlI7VZFksVQC4unornETcjFqtZujQxxg69DGOH99AcvLTxMZuZM+eTRQWDmL06A8ID6/7tldpew6R+8a7RB7YTVhRNj89wd4GZAWEk9n/TkKf+R0xQ6+/Er2sLJd16/oSH5/BpUs9mTlzLy4uDbPXqUbTCX//77DZbDX2ZLVteydt294JVPf6Hju2joyMlahUiQQFbaK8fBObN6soLIzGx2cYPXokEB8/qEEyi5pZLCZCQoooLByldBQhbkp6KB1Qamoq8+fPZ/fu3Tz22GP8/e9/x8NDVi/X5JNPZhMSsoKhQ60yrNQMpaTsZ9euR4mIOI5KBRkZnRk69L0fC6dbkX3sLEUz59Hl7EEsKjVa+42Ph7z6+KmOfQlYuYTwHh1/fOzkyU2cOTMZHx8TZvMTTJz49u28tFrbuvUlXF1fJDx81229bgC9vpTExMWkpq5Hqz1BRIQOjQby8pyoqGhDSMhY+vX7NcHBrW/emKizY8fWU1b2APAud975W6XjCFEjKSgdiN1u56OPPuLpp58mICCAxYsXc9ddsmK5Nlavnkxg4GeMGiW/Ds1ZXt5Fvv761/j778LDw05qajTdu/+91nuLHnz+dbq+8We0VkuNheTPWVRqLBotJ5/5K31f+QMbNjyOq+u/KSlxoVu3DXTqdPftvqRay8k5x4ULHSkt/Q333vvPemmzoCCVxMQPyM3dgqfnBUJDzdhskJXljtnclZiY+xgw4CHc3X3r5X7iWmvXziAoaDV9+xbg5RWodBwhaiQFpYPIyMhgwYIFfPvtt/zqV7/izTffxMtLVizX1ooV9xAQ8CVjx8qvgyOoqCjkyy8fRavdQFCQhZSUAGJj/8iddz5xwx7o/QueZMDid7ADqtu459Xr1o/uT8CzB0hObsWUKQfw9g6uwyu5NZ99pqWsrDsLFhxukPZTUvZz5MjHlJXtJDAwHV9fO0YjZGX5o9X2pX37GfTsOaVFncvekBYubI2LSy6zZumUjiLETckcymbObrezZMkSnnjiCby9vfnmm28YNUrm29wqm82IxXI7ZYRoiry8Apk+/VPMZgNffvl7XFwWolY/zapVf8bb+2HGjfv7NUXPwedfZ8Did4DbKyZ/et393xzgk4BxzF+xqdGnT5SWhqHVXmyw9uPiBhAXNwConqd94sQGzpxZgd3+A0FBW9Hrt/L117PJywvH0/MOevRYQJs2d8o0ktvk5ZVBRUXHmz9RiCZAeiibsezsbB566CG2bNnC3Llzeeedd/D19VU6VrO0ZMkd+Pjs4777rEpHEQ3AZrOxfftrZGW9SatWpeTlOWG3T2bChP9QeiEb/749cLGYflFMVgL/ABKBg0AJsASYW8O97IBR60zxwWPXzKlsDCtWjCMwcAsjRxobvZfQYKjk4MGlXLq0DrX6GJGRFWg0UFCgpaysNYGBo+nX79eyLVctZWefISmpc71OYRCiIUlB2QzZ7XZWrVrF448/jqurKx9//DHjxzvWsXSNbfHi/nh6HmHKFLPSUUQDO3BgGadPP09cXBbl5Woinm5Lj5Sk686ZvAy0AqKBOGA3Ny8ooXpO5bkOvelyJrFes9/M7t3vAk/g6/s53btPatR7/1xJSSb7939IdvZmPDzOExZmBCAz0w2jsRNRUfcyYMDDMjfwBq7ujRsTc4BWrfopHUeIm5JxiGYmLy+P++67j1mzZjFu3DjOnDkjxWQ9sNtNWK0apWOIRtC//xwSEjIJC9tG/pGe9Ll0/oYLcMKAHCCN6p7K2tLabXQ5e5C0fQ0zl/FGunefgs0GFy9ubtT7Xo+fXyRjx75MQsJxpk83EBd3hKKihzEYwvDzO4qz8wvs3x/EkiV+LFs2kv37F2E2G5SO3WTk5e2gqEgjxaRoNmQOZTPy6aef8uijj6JWq/n888+ZNEnZHghHUl1QyverlqRDh5GUH1uKRXX0hgWlC3C7W6VbVGpy//4OMV+uuu2Mt8rXN5y8PBd0usbtGa2N6OieREd/AFRPQThzZgunTi3FZvuekJDtGI3b2bYtgZycMDw8BtO16zw6dBjdYudfqtXnKSkJUzqGELUmBWUzUFhYyKOPPsq6deuYPHky//nPfwgKClI6loMxYbNJD2VLE3lg9y1tD3QrtHYbEQe+a5C2a6LTReLicrnR73sr1Go1XbqMp0uX6tEVs9nAwYPLKSj4BK32CIGB6ygoWMf58xpKSlrh7z+Svn1/TWRkV4WTNw6DoZKwsHIKC2XbN9F8SEHZxH3xxRc8/PDDWCwW1q5dy9SpU5WO5KDMUlC2MJWFJYQVZTfoPcKLstAVldb6mMb64OHRk8DAdej1pc1mf0gnJ1cGDfoVgwb9Cqg+YejAgY8oLd2Em9sZ/P3/S3Lyf9mzx4Wqqo5EREygf/9f4esbrnDyhnHs2DpcXCAuboLSUYSotZY5ltAMFBcXM3PmTCZNmsSAAQM4c+aMFJMNyozNJt+vWpK8o6cb/A1QDeQeOdXAd7lWq1bjcHKCEyfWN+p965OPTyijR/+ZBQsOM2NGFW3anKKk5DH0+mh8fU/i6voShw9HsHSpD0uXDmPv3v9iNOqVjl1vUlI2YTRCjx6TlY4iRK3JJ2gT9NVXX/HQQw9RVVXFihUrmDFjBiqV7JHYkFQqC3a7/Do4IpvNRn7+RXJyTlNUdJGyshR0ugzMpypojAME9+x4lSOlwXh6RuPnF0dQUFvCwzs1WO9ht26T2LdvLtnZWxkwYEGD3KOxRUR0ZtKk94Dqf88LF3Zw/PhiLJY9hIZ+h9W6mx07HiUnJxhX10F07jyHLl3uabbzL6uqDpOT442rq6fSUYSoNfkEbULKysp44oknWLJkCXfffTcff/wxERERSsdqEVQqCzabq9IxxC0wmw1kZ58mN/csRUUXqahIpaoqC4slH5WqGCenCjw8DHh7W3Fyqr5Gq4WAAHBxUVHsEdUoOd19TxEYmIVaDUYjZGZW/6fTQWWlE1VVblgsXoAfWm0Qrq5heHlF4+vbiqCgtoSGdryl03bc3LzJzXXHaDzacC9KQWq1mg4dRtKhw0gALBYThw+vIS1tNWr1IYKCNlBSsoGNG9UUFcXg6zuc3r1/RWxsH4WT35iuqJTcI6ewVBnQuLri41JEhbllzBcVjkP2oWwitm3bxoIFCygrK+Pdd99l3rx50ivZiJYu9cVi8SMhIVXpKC1eRUUh2dknyc8/T0nJJSor0zAYsrHZClCrS3Bx0eHpacTLy85PO6CsVigvV6PTuWA0emK3+6LRBOPqGo6nZyz+/vEEBbUnIqIzHh7+6IpKcQv0q/Ww92GgD7Xbh/IqG1BVWIKztyu5uefJy7tAcXEyFRVp6PVZmEx52O3FqNVluLjo8fAw4eVlQ/Oz6bxVVVBRoaWqyhWz2QvwQaMJwtU1FA+PKHx9WxEY2IbQ0A74+kayeHE3PDySmD7dWMukjqOiopDExIWkp2/AyekUERFVqNWQk+OMTteOsLDxDBjwa/z9oxXNmbbnELlvvEvkgd2EFWVf83NoA7L8QsgeOJzQZ35HzNCmWwwLcZUUlAqrqKjg97//PR9++CEjRoxg0aJFREcr+0bXEi1f7oXJFEZCQpLSURySzWajqCiNnJxTFBRcuDLsnI7JlIvdXohGU46bmx4vLxMeHtdeazJBebkGvd4Nk8kLCECrDcbdPRJv71YEBLQhNLQToaHtcXK6tV7mrMAIImq5MOd2CsrMgAgiCzNvKZPFYiI//yL5+UkUFSVTXn4ZnS4LkykXm60IlaoMZ+dKPDyMeHnZfux9vcpoBKNRhZeXnZSUAOz2ANTqQFxcQvHwiMTXtxUBAfGEhHQgMLBVsx0Wrq28vIskJn5Afv7XeHtfJDjYgtUKWVmeWK3dadXqAfr1m4ebm3ej5Mk+dpaimfPocvYgFpW6xl0Grj5+qmNfAlYuafSTl4S4FVJQKmjXrl3Mnz+fgoIC3nzzTR5++GHplVTIypXuGAxxJCScVjpKs2KxmMjJOUtu7hmKii5SXn6ZqqpMzOY8oAhn5wrc3avw9rbi/LOTAHU6qKhwwmBwx2LxQaUKxNk5FA+PaHx84ggMbEtYWOcGLXoSx8+g15a1NX6o/xsoBbKB/wL3AT2uPPY44HOD6ywqNd8O6EvXTz8mIqJz/YX+CZvNRmFhKnl55ygqSqa0NBWdLhO9/gxt2lwgLc0DlQrc3Q3X/Tcwm6GiorpX12TyxG73Qa0OuPLvEIG3d+yV4rM9wcFt0Gia/yyppKQ9HD++iPLyXQQHZ+LtbcdggOzsQJyc+tOx4yy6d7+vQV7rwedfp+sbf0ZrtdzSdlUWlRqLRsvJZ/5K31f+UO+5hKgPUlAqQKfT8eyzz/Lvf/+bO+64g8WLFxMXF6d0rBZtzRpX9PqOLFjgmPPObpVeX0pW1mny889SXJxMZeVlDIZsrNZ8VKpSXFyqe8i8vX85PFtWpqKy0gWj0QObzQ+1OggXlzA8PWPw948nOLg9YWGdb2leYENJ23OImDv61vicWKpPyrme1CuP38iGf4bg2SGPtLQo4uOfYujQxxulR9BiMfHtty4UFNzN7NlbgOris7Q0k9zccxQWXrxSfGZgMORitRagUpXi5FSJm5sBLy8Lrj/r7L06pUCvd77yb+uDSuWPs3PIld7iGPz9WxMc3Pa2eouVYLVaOHZsPefOrcBsPkB4eBGurtU/wwUFUXh7D6Nnz4eIjx9U53vtX/AkAxa/gx1+cWZ8bVy9bv/8Jxiw6O065xGivklB2cj27dvHvHnzyMrK4u9//zuPPfaYww85NQeffupEZWUv5s8/oHSUBnO1oMjOPk1BwXlKSy+h02ViNGZfGXYuw9VVh5eXGU/Pa98WzObqYWedrnoOn93uh1YbgptbBF5e1cPOISEdCAvrhIuLu0Kv8Pac6tSPDucO1+sG51fP8g7dvZZt255Eo/mK0FAzOTku2O3jGTPm7Qafw1c9L9iThIRbG3K/qqwsl9zcsxQUXKS0NIXKygwMhhwslgKgBK22Eje3Kjw9zb+YpmCzQWWlispKZ4xGd6xWb1Qqf5ycgnFzC8fL62rx2Y7Q0A5NZjVzVVU5iYmLSU39DI3mOBEROjQayMtzoqKiDSEhY+nX79cEB9/a/gAHn3+dvq8+W285Dz7/On3/9ky9tSdEfZCCspFUVVXxwgsv8M477zBgwACWLl1KmzZtlI4lrli/Xkt5+SDmzWv8k03qymq1kJd3gZycMxQVJVFWloJen4nZnAsU4+RUjptbFd7ev+x1qqqC8vKrK419UKkCcHIKwd096pph56Cg1g4x3Hk92cfO4t+3By4W0231HP2cHTBqnSk+eOzHOW82m43du98hJeUdWrXKwmyGzMz2dO/+Z3r3nl4Pd/2lRYv64ONzjAcesDRI+z+l0xWTk3OOgoIkSkpSqKxMp6oqG7M5n+risxwXl+ri08vrlx85FRUqKiudMBrdsFi8Ab8fi8/G2m7pegoKUklM/IDc3K/x9LxAaKgJmw2ystwxm7sSE3MfAwY8VGOmW/35egV4AegEXG8CzvV+voRoCqSgbASJiYnMmTOHy5cv88orr/C73/0Ozc/HCYWiNm5UU1o6gjlztikd5UcGQyXZ2afIy6sedi4v/+mwc/GVhRkGfHx+OexcXl7dO2QweGCz+V5ZlBGOh0c0fn5Xh507OexJI7di9+53KVn6MZOWna23NmvqQUpPP8rOnU/j7f0d/v420tM9cHefzt13v46Hh3+9Zdi48Ql8fN6lbdvThId3qrd268pgqCQ39xz5+RcoLr5ERUXaj8Wn3V6MRlOOi4seT08Tnp7XruSHhttuqTZSUxM5cuRjSkt3EBiYjq+vDaMRsrL80Wr70r79DHr2nIJW+7/JqrfSA54JtKN6aDuW6xeU8L8e8C5nmt6Z7aLlkoKyARmNRl588UXeeOMNevXqxbJly+jQoYPSscR1fPWViuLi8cyatbnB71Vamk1Ozpkr2+Iko9OlYzRmY7MVolaX4uqqw9PThLf3tb+aViuUlanR6VyvLKDw/3FbHG/v6m1xQkI6EhbWqdFWrDZ327f/HYvlj2Rn+9P2u+kMXv6fOs9xO7DgSfovfOumzzebDWzb9hJ5eR8TF1dERYWK/PyeDBz42o97LNbFxYv7yMoagsHwF8aMebHO7SnBbDY06nZLtzL9yGazcfLkRs6cWY7B8APh4fm4uVX3tublhePpeQdR3MWg6Qm1bnMaUABYgUJuXFBelbb3EDGDe9e6fSEakhSUDeTIkSPMmTOHpKQkXnrpJX7/+9+j1TrmkKEj2LZNRWHhAzz44Lrbuv6np7EUFl477Gy3F6HVll0Zdjbj5nbttQYDlJdrqapyw2z2BvxxcgrF3T0SH584AgKqe1tCQtpe0/Mh6mbr1pdQq18kIyOI6dOTcHf3rfsq3D+8fFtz286f38H33z9LUNARvL3tpKT4ExS0gDFj/nrbi1tsNhtffqmlqGhIs5zKcauubreUl3ee4uKUGrdb8va28fO3Y6MRKio06PWumM0e2O2+t7TdksFQyaFDy7l06VNUqqNERlbA3zpxx3fnavWztAe4CzhG9e4BNysoLSo1R8ZOo9+Xq27tL0qIBiIFZT0zmUy88sorvPLKK3Tt2pVly5bRpUsXpWOJGthsNvbs0ZCXN4upU5df85jRqCcn58yVbVl+ehpLHipVyXVPY7mqslJ1ZVscD6zW6m1xqoedI/H1bU1QUHvCwzvfcs+IqLuvvnoOZ+fXSE8P5cEHL1zTo6vkPoF6fSlff/0slZWriImppLhYTXn5EIYNe5OYmFvviVq0qHrId8GC/DrlcjQ32m7JaMzFZiu8suJdV6ftllxdfYm+509EleTdNI8V6AkMAD4A7qR2PZS3s8+pEA1FCsp6dOLECebOncvp06d54YUXeO6553D6eZUhmoSfnsZSUHAGf//3uXQpGLvdu86nsQQHdyQ8vGO9zocT9Wfjxifx8HiHy5cjmTXrwg1XpV89ySTiwHeEF2X94iST7IAIsvrfQeizTzTIsOORI59y7NiLREScw9kZUlPDiI39DcOGPV3rBVJLltxBQMBexo+3yJeW23S72y2Zyl0ZMdFQq5OY/gM8D1wEgqh9QXn1JCaPAN/bfHVC1J8WX1DqjBYuF+kwWWw4a9XEBnjg4XJrQ9MWi4W///3v/PWvf6V9+/YsXbqUnj17NlBicSNXex1+Ouz809NYtNoyXF2rrnsaC1TvPVdW5vHjaSxOTtXb4tT1NBbRdGzY8H94e79PamoMc+acr/W/5U/PWta6uRLaq0ujfYiXlGSydevT2O1fEB5uJC/PCZNpNKNGvU1ISM07RWzd+iKuri8RHv4dbdsObZS8Ld3V7ZYubdvD2N+8dNPnFwFtgeeAp6782Z3UrqAEuPTNHlqPGnKbaYWoPy2yoLyYV8GqxHR2XcgnvVjPT/8CVEC0vzvD2gUzo180bUK8amzr7NmzzJkzh2PHjvHss8/ypz/9CRcXlwbN39L88jSWVPT6TCyWfGp3GoszVVVX98K79jSWoKB2aLVu5OePQqd7lnHjXlPkNYqG99lnCfj7LyIlJZ65c880u/moNpuN77//gAsX3iA6unqr9fT0ODp2/CP9+8+/bg9kdvYZkpI6U1b2OyZOfKexI7doFzZ+S7t7R930eY8A24EzwNWfyDupfUF54YtttJtY90VcQtRVi1olklGs57kNp9ibXIhGrcJq+2UtbQfSivWsSExj6f7LDIkP5NVJXYjyv3ZYzGq18tZbb/GnP/2J1q1bs3//fvr06dNIr8Qx6PWlZGaeJD//HCUll2p1GourKz+eZHH1NBaTKRSLJQiTKRxPzxj8/FoTHNye8PCueHkF3jTH5cuHANBq3W7yTNFcffLJTEJCVpGc3J558041yz011Wo1Q4Y8ypAhj5KdfYbt25/Gx2c7JtNDrF79G5yc7mPMmDfx8Qn98Zrw8E788IOGsrJ9CiZvmbRuN+/9vgh8BLxL9dGeVxkAM3AZqF6mV7f7CNEYWkwP5dpD6fxl0xksNvt1C8kb0ahVaNUqXprQiWl9qk+2SEpKYs6cOSQmJvL000/z17/+Fdef7xjdQl3vNJbKynRMphzs9qI6n8YSGtqR0NCO9Xoay4ULO8nJGY7d/hbDhj1Zb+2KpmH16smEh39GcnIX5s8/7lBzCa1WC9u3v0pm5vvExuZhMEBOThf69HmZbt0mArBwYSRabSVz55YqG7aF0RWV4hboV+Mcyt3AsJu081uqC87rkTmUoilpfl/Tb8O/d13kzW1Jt3Wt9UoB+uznpygoN2A9tYU//vGPREVFsW/fPgYOHFjPaZsmq9VCbu55cnLOUFx88bqnsbi7V10zKV2lAj+/6h7Fn57GotfHYDaHYjRG4e3dSvHTWIzGSgCcnK4zsVI0aytXTiQychOXLvVi/vyDDlVMAmg0WkaP/jPwZ5KTv2fPnmcIDNxPScm9LF3qja/vHJycOhIc/C0Wi6nZDfM3Zx4BvmQFhBNRlH3D53QGNlznz18AKoB/AjUd8pgdEEGkFJOiiXD4gnLtofTbLiZ/7q3tFynasoWHH36YV199FXf35nVm8fVc/zSWrCvDziXXPY3F2RmCgq49jcVsDqKiIhCT6drTWMLDu1wzBNcUmUw6AJydpaB0JMuWjSYmZhspKQOYN2+fwxWTPxcfP4j4+O8xGCrZuvV5YBm+vu+h1YKbG+za9SYjRz6ndMwWJbP/nYRsWXvDracCgXuv8+fvXvnf6z12lUWlJqv/HUTWJaAQ9cihh7wzivWMeOc7jJZf/jIb0k6St+b6b66hs97EJaL9Lx+w23HSqNj51LBfzKlsakpLs8nOPkV+/nlKS1OuexqLl5fpF+fq3ug0luph51j8/VsTEtKR8PAuuLp6KvTq6tcPPyzEZHoIX9/P6d59ktJxRB3ZbDaWLx9ObOxuLl++k9mzdzh8MXkjJ09u4uDBZ2nd+hx2O6SmBhMR8QgjRjwnvZWNIG3PIWLu6HvL192JnJQjmh+HLihnLUrkh5Si686ZvFpQevW6B+ewttc85hbXE427z3Xb1KhVDIwLYMWCfg2SuSbXP40lA5Opeti5rqexhIV1IiSkXbNcsFAXu3f/E/gdISHb6uXIO6Ecm83G0qWDiYvbT1raKObM+UbpSE3C2rUuVFW5odWaiIqqorBQg043nJEj325S53w7ols5y7u25Cxv0RQ5bOVwMa+CvcmFN32eS1QnPNoPrnW7VpudvcmFJOdXEB9c85ZCtXX1NJbc3LMUFydRUZF209NYnJwgMLD63NjKyurTWCwWfyorAzGbrw47tyYwsK2cxnITZrMeJydwcXGMHteWymazsWRJX1q3PkJGxnjmzGn4c9mbi8rKSFxccpkxo5LExGWUlr5KVNQ2zpzpzJYt0bRp8zRDhvyfvEc0gICVS7D07YHGYrqtM+J/zg5YNFoCVi6ph9aEqD8OW1CuSky/4dZAP2cz6lE5uaBSa2rVtkatYuWBdF6cUPM3+5+exlJcnExlZdqVYecC1OrS657G4u4OLi7XnsZiMkVgtV7dFud/p7FERHTG3d23VpnFjf2voKyfLwii8dlsNhYv7kF8/Emys+9n1qzPlI7UpLi79yQo6DOMxkoGDJjHgAHzyM+/xLZtT+HpuQW7/TesXft74B7GjHkLf/9opSM7jPAeHdmyYD5jP/ygXtpTAdvmxFN0/NfM6bZbvgSIJsNhC8pdF/JrVUwWbfkndlMVqNS4RHXCb9h8XMJqPn3CarPzzalUhnh8RWnp/4ad/3caix5vbzM/XbPj41M9Mb68XINe74bJ5EVVVRgWSwhGY+SV01jiCQ3tRFhYR5nf1IgsFj0gBWVzZbVaWLKkC/Hx58nLm8GDD65UOlKT06rVWIzGzzhxYgP9+88BIDi4NTNnfoHNZmPXrrfQ6/9Jq1afkZj4GVlZ7ene/c/07j1d4eTN39mz32C++0M+T+/GfV+fwA631VN59br985+gdOg5WkVvZfHiOB588Lh0LIgmwSHnUFYaLXR58RtqemGGzHNUHNqAW1xv1O4+mAvTKT+4AbvZQOjMf+AcWtNmDQB2Phg+GVet4WensfhcOY0l5JrTWMLCuhAQECPfJpugzz9/FH///9KnT5Gcv93MWCwmli7tRFxcMkVF85g8ebHSkZqkqqpy9u3zobBwMtOnf3rD56WnH2Xnzqfx9v4Of38b6ekeuLtP5+67X5ffjduQmprIkSODMJs1DBt2kvT3vqDrG39Ga7Xc0pxKi0qNRaPl5B9epu/fngFg06ancHF5m9xcT0aNOkhYWIeGehlC1IpDFpRnsssY996tnwxhLskmZ9HjuER1ImTqX2/6/PfvcWFIl+61Oo1FNF3r1s0jKGgpQ4aYW9yCpObMbDawbFl7WrVKo6zsEe67732lIzVpK1Z4YDSGkZCQfNPnms0Gtm17iby8j4mLK6KiQkV+fk8GDnxNFq7VUk7OOb77rjtarZXevfcTG1t9ktqyN+6jy8KT9Lx4CYtKXWNhefXxUx37ErByCeE9Ol7z+P79S8jLS8BsVtO+/Qa6dBnfoK9JiJo4ZHeZ6TrbBNWGk184bm36YUg/id1mvenzwyJ7STHpACwWAxYLUkw2I0ajnmXL2tCqVRqVlb+TYrIWjMZYPDwya/VcJydXxo17jfnzCwkN3U5+fi+Cg4+SlzeKxYsD2Lz5GcxmQwMnbr5KSjLZvr0Xrq4WOnX6+sdisqqqHK/4jRx9xk7adwc5MnYamQER/PwTywZkBkRwZOw00vYeosuZxF8UkwADBsyjc+c9mM0a0tPvYceOfzT8ixPiBhzyE9RZe/t1stY7EKwW7GYjqpsc71eX+4imw2YzYDYrnULUVlVVOatWtScmJgeD4VkmTnxN6UjNgo9PPwICzlJamo2vb3itr2vffjjt2x9Cpytm69Zn0WrX4OX1DzZvfovy8iEMG/YmMTGyF+JVOl0xGzd2JiioitDQT67p0d206TGCgmy0afNPYrr0IWboquprikrJPXIKS5UBrZsrob26EBngW6tNy+PjB+Hvn8QXX/QkOvoZPv30NFOmLGugVyfEjTlkRRQb4HHb2zNYSnNRaZ1ROdd8Nrfqyn1E82e1GrBY6mNDD9HQ9PpSVq+OJzo6B6v1L4wbJ8VkbbVpcw9qNRw/fuM5lDXx8PDn/vs/YvbsCjw911Jc3JaQkO9ITu7DwoUR7NjxBlarpZ5TNy9Go561azsQGlqGt/f79Oo15cfHzGYDavUaUlIifzE07RHgS+tRQ2g3cSStRw255bO5/f2jmTUrk8uXOxEcvJzFi/u1+H8L0fgcsqD0cNESfZOTbKz6sl/8mSkvBf3Fg7jG9kClqvmvJjrAHQ8Xh+zgbXFsNqMUlM1ARUUha9e2JjKyAJXqVcaMeVHpSM1K587jqKqCjIxv69xW795TSUg4R//+GeTnT8bdvQiN5g989pk7K1dOJD//Uj0kbl6sVgsrVnQkOjoftfpvDBnyyDWPb9r0O4KCLPTo8VaD3N/JyZX580+SlXUvsbEHWbIkhoqKm+/FLER9cciCEmBYu2A06hsXCQVfvE7+uhcp++ETKo5vpXj7x+Su/D0qJxf87pxbY9satYphbYPrObFQSnVB6bC/Cg6hrCyXzz5rQ3h4Mc7ObzFy5B+VjtTsaLXO5OX5YDSerLc2/fwimT79U6ZN06NWv0dFRTghIZs4diyehQvj2b9/ETZb/Z0Q01RVb6rfg7i4NPT6Jxg16vlrHrdaLZhMS7h0KfiaXsv6plarmTFjAwbDc0RGZvPFFzFkZBxvsPsJ8VMO+yk6o190jftQurftj1VfTvnBLyje9l/05/fi3nYgYXPfwSkwqsa2rTY7M/vLxr+Owm43YrU67K9Cs1dSksmGDe0ICSnF3f09hg17UulIzZbVGo+vb069t6tWqxk69DESEi7TqdNp8vJG4+OThtGYwOrVnnzyyWzKy/Pr/b5NxbJldxAff5qCgllMnPj2Lx7/6qs/EBZmokOHVxolz9ixrxAQsBIPDwMHD/bm2LH1jXJf0bI55LZBV9V0lvftUvIsb9EwFi7sipvbRWbMqFI6iviZwsI0tmzpRECADj+/jxk4MEHpSM3aF1/8Fl/ff9Gu3dkG37fQYjGxfftrZGW9T6tW+VRVQU5OF/r2/Rtdu05o0Hs3ppUrJxIZuYmMjLHMmvXVLx632WysWeOB0ejO/PlFjZrt8uVD7Nt3B/7+VWg0LzF69J8b9f6iZXHobplXJ3VBW8Ow962zo1WreHVSl3psUyjPhNVau2M3RePJz7/E1193xM9PT1DQCikm60HHjpMAOHHi9hbm3Aqt1pkxY/7CggV5REfvIy9vIIGBpykunsjSpb588cVvMBgqGzxHQ1q3bh6RkZtISel/3WIS4JtvXiQiwkBc3J8aOR3ExvbhnntSyMkJQav9C2vWNNxwuxAOXVBG+bvz0k3O2741KsYEfUuEb80rwEVzY8Zmk4KyKcnJOce333bGx6eK8PC19O07U+lIDiE+fijl5Spyc3c18n0HMX/+94wZU05p6W8A8PV9j61bvVm8eCAXL976QRRK27z59/j7LyU5uQNz535/3efYbDYKCt4mLc2LoUN/08gJq/n4hDJnTjqXL/cgLGwdixb1wGIxKZJFODaHLigBpvWJ5ulRbeulrbsC9zCp6zssXtxVfiEdihm7XQrKpiIz8yS7dvXAw8NEdPT6Bl3E0NKo1WoKCwOwWs8qcn9XV0/uvfefzJ1bir//RgoLuxASsp+MjCEsWhTC1q0vNov31u3b/46Ly5ukpkYxd+7xGx6pu2vXW0RH6wgLe0bRY3e1WmcWLDhKTs40YmOPs2xZFGVluYrlEY7J4QtKgMeGteHv93XBRauuceX39WjUKly0al6/rwuLn3qd/Pw5tGp1hmXLZEsGR6FSmbHZZAuopiAt7TD79vXBzc1MfPxmunefpHQkh6NSdSAwsFDx1dddu04gIeEEQ4bkUVg4G2fnClxdX2LDBg+WLRtNdvYZRfPdyA8/LMRs/iMZGUHMnHkWrdb5hs9NT3+VjAx3Rox4rhET3tj06WuwWl8mLCyfzZvjuHz5kNKRhANpEQUlVPdUbn/iDgbGBQDctLC8+vjAuAC2P3EHU/tUr+qeMmUpFstLhIfnsmFDLDk55xo2uGhwKpUFu10KSqWlpOwnMXEATk5WOnTYRufOY5WO5JBCQ+/Ex8dOSsp+paMA4O0dzJQpy5gxoxIXl8WUlcUSGrqNM2c6s3BhDN99957ixe9Vx46tp6joV+TleTNlyllcXT1v+Ny9e/9Lq1al+Pk9pmjv5M+NGvUCYWGf4epq4ujR/hw6tErpSMJBOPQq7xu5mFfBqsR0diXlk16k56d/ASqqNy0f1jaYmf2jiQ/2um4bBw+uJDt7Dkajhm7dvqZ9++GNkl3UvyVL/LBavUlISFM6SouVlLSHEyeqf4e6d99FmzaDFU7kuLKyTnPxYhfKyp647hY3TUF+/iW2bXsKrXYLoaFmsrNdgHsYM+Yt/P2V2bLtwoWdnD07Ep3OhTFjzhEYGFPj8xctCsbNrZypUyvRaJreF9bMzJPs3DmQ4GAdVusfGTfuVaUjiWauRRaUP6UzWrhcpMNkseGsVRMb4FHrE3CSkvZw9OhI3N3NBAV9zIABCxo4rWgIy5Z5YzaHkJBwUekoLdL58zs4c2Y0VquKPn320aqVbMnV0Nav11Ja2pMFCw4qHaVGNpuNXbveIjX1n7RqlYXJBFlZ7ene/UV6957aaDnS04+SmNgPq1XF0KHHCA+vebHnwYMr0etnUVLyGJMmvddIKW9dRUUhn3zSnbi4LLKzJ/Lgg583qd5U0by0+IKyrvLyLrJ1ay9CQiqw2Z5j7NjG2bhW1J8VKzwwGmNISFBmoUJLdvr0Fi5evAejUcvAgfuJju6pdKQWYeHCCDQaPfPmlSgdpdbS0g6za9fv8fbeg7+/jfR0Tzw8pnP33W/g7u7bYPfNy7vIzp1dcHa20KPHXuLiBtz0moULw/HyKuT++ytrnGPZFFitFpYtG0Jc3AGSkzsyZ84RnJxkJxNx6+SrSB2FhLRh8uR0MjMjcHF5lTVrpikdSdwijcYKNO03fUd0/PgGkpPHU1XlxJAhR6SYbETOzl0JCSltFiuqr4qJ6c3cubu45x4dlZXPYLE4ExDwMTt2+LNoUW/On99R7/csLc3mm2+qdxxo125TrYrJ48c3EB+fg1o9o8kXkwAajZb58/eTnz+H2NizrFgRSXFxutKxRDMkBWU9cHf3Zd68y1f2+fqExYv7Y7ValI4lakmjsaFSNf03fkdy+PAnpKffj07nwrBhx4iI6Kx0pBYlMnIE7u5w9uxWpaPcMicnV8aPf53584sICdlGfn5PgoOPkps7gsWLA/jyyz9gNhvqfB+9vpQNGzoTGKgjNHR5rReJHT78BIWFGu65p+kOdV/PlClLUavfJDi4mK1b2zbLvUGFsqSgrCcajZYFC46SmTmR2NhEliyJp6qqXOlYohY0GhtqtYvSMVqMxMTl5ORMp6zMjZEjTzf4EYDil7p3nwxAUtJmhZPUTYcOI1mw4DB33VVIUdFDaLUmPD3fYPNmD5YuHUZ6+tHbatdsNrB6dUfCw0twd3+31hvrnzv3La1apWE2P1DjCvCm6q67niI29ku0Witnzgxl//5FSkcSzYgUlPVs5swvqKh4gujoNNaujaGwUFYON3VarV0Kykby/fcfUVg4h5ISD+6++yzBwa2VjtQi+ftHk5PjTGlpotJR6oWHhz/33/8Rs2dX4Om5luLitoSE7ObixV4sXBjBjh1v1HrUqHpOYRdiY3Ow2f7EnXf+ttY5vv/+/ygvVzNx4ge3+1IU17nzWIYMOUlZmSfl5Qls3Pik0pFEMyEFZQOYOPFtXF3fIzCwjG3b2pGa6hhv2o5KCsrGsWfPvykre5iCAm8mTLhw021XRMPS6SJxdk5ROka96917KgkJ5+jXL438/Mm4uxeh0fyBzz5zZ+XKieTnX7rhtTabjaVL+xIXl0xFxaPcffdfa33flJT9xMZepLJybIMuEmoMYWEdmDw5nYyMGHx83mHZstFNZi9Q0XRJQdlAhg59jNjYTTg7Wzh2bCBHj36mdCRxA9UFpaxqbEg7d76FXv84eXm+3HffRXx9w5WO1OK5u/cgNFSHwVCpdJQG4e8fzfTpnzJtmh61+j0qKsIJCdnEsWPxLFwYz/79i35RJC1fPpLWrY+RlzeVSZP+c0v327nzYfR6FRMmfFyfL0Mx7u6+zJ+fQmrqUGJitrF4cXuH/VkR9UMKygbUpct4+vc/ik7nQk7OZHbs+IfSkcR1ODmBRiMFZUPZtu0VzOanyc4O4IEHLuLtHax0JAHExo7B2RlOnPhc6SgNSq1WM3ToYyQkXKZTp9Pk5Y3GxycNozGB1as9+eST2ZSX57N69QPExu4kLW0E06evvaV7ZGQcJzr6FCUlw/HxCW2gV9L41Go18+Z9R3Hxr4mOvsiaNVE19vCKlk0KygYWGdmVe+5JJi8vELv9Gdav/7XSkcRPmM0GNBrQat2UjuKQvv76z8ALZGYGM21aMl5egUpHEld07/4AFgukpGxROkqjCQ/vxOzZW5k0SYfB8CJGoxdBQSv44YcQwsPXc/Fia2bN+uaW2922LQGzGcaNW9gAqZV3333/xdX1PQICyti5s0ODbNEkmj8pKBuBr284M2akcflyWwICPpT5KE3I1ZX4Go0UlPXtyy//gFb7MunpYcyYcanZzytzNO7uvuTkuKHTHVE6SqPTap0ZM+YvLFiQR0HBbJydwWiENm0usXy5P1988dtaD+/m5l4gPPwI+fmDHHpe8NChj9G27bcAJCWNZO/e9xVOJJoaKSgbiYuLO/Pnn+Py5WFX5qN0rpe90kTdGAwVgPRQ1reNG5/Aze0N0tKimDUruVluodISGI2xuLtnKB1DMbt2vY2f33JSUiIYNKiI0tLfAODr+y+2bvVh8eJBJCd/X2MbX3+dgEoFd9/t+FvstG8/nLvuOkdRkQ9VVf/H558/qnQk0YRIQdmI1Go1c+fupKBgHq1anWP58hjKy/OVjtWiGY3VBaWTk7vCSRzH558/gqfnu6SmtmLOnCRcXOTvtqny8elHaKiR0tJspaM0usTE5VRVPUVmpj8zZpzF09Ofe+/9J3PnluLvv5HCws6EhPxAWtpgFi0KYevWl35xslBhYRrBwfvIyupFaGg7hV5J4woObs306Rmkp7fG3/+/LF16p4y4CUAKSkVMnrwYq/VvhIXl88UXcWRnn1E6Uot1dVhLCsr6sW7dPHx9PyA1tQ1z556XM4GbuPj48ajVcPz4OqWjNKqTJzeRlzeXwkJP7r//DG5u3tc83rXrBBISTjBkSB6FhbNwcanA1fVFNmzwYPnyMT++Z3/1VQJOTjBqlGPOnbwRV1dP5s9PIi1tJLGx37F4cRx6fanSsYTCpKBUyKhRzxMcvBovryr27evO2bO3PhFc1J3JJD2U9WXt2hkEBS0lJaUD8+adbRbnGLd0nTuPw2CAjIxvlY7SaC5e3Edy8iQqK50ZM+Z4jauyvb2DmTp1OQ8+WImLy0LKymIICfmGM2c68/HHkQQGbic9vRNRUd0b7wU0EWq1mjlztlFW9juiotJYty6anJxzSscSCpKCUkG9e0+nS5c9WK1qkpPv5vvvP1I6UotjNOoAcHLyUDhJ87Z69QOEhq4mObkr8+efRqPRKh1J1IKTkyu5ud4YjSeVjtIoMjNPcvToXVgsaoYMOVDrk5rUajUDBiwgISGZHj2SycubQHBwNh4e4OmZxJo1UygpyWzg9E3TxInv4OX1MT4+lezd25XTp1vOrgHiWlJQKiw+fhDDh5+luNiLysqH+eqrPyodqUUxmaoLSmdnKShv14oV4wkPX8+lS72ZP/8YarW8rTQnVmsbfHxylI7R4AoL0/juu344O1vp3n3HbfcqBge35r77lmGzqUhJCaSyMojg4HUcOBDFwoUdOHz4k/oN3gwMHJhAp057sFo1XL48np0731I6klCAvPM3AcHBrZkyJY2MjCjc3P7O6tWTlY7UYlwd8nZxkVXIt2PZspFERX1Fauog5s1LlGKyGQoIGEhQkMWhhyvLy/P56qsueHsbiYv7nLZth9apvY0bf423t40BA1aTkJBFfPwh8vLuxN8/icrKaSxf7sX69b9qUfMK27QZzOjRSeTn+2GzPc26dfOVjiQambz7NxHu7r7Mm5dCamovwsM/Y9GivlitFqVjOTyzWQ+As7MUlLfCZrOxZMkdxMRs5/LlYcybt0+KyWaqQ4d7ATh50jEX5hgMlXz2WUeCgysIDPyYbt0m1qk9o1GPk9NnpKbG0KHDSABiYnozd+4u7rlHR2XlM1gszgQEfMyOHf4sWtS7xWwE7u8fzYwZGVy+3IGgoCUsXjxAPsdaEPkEaEI0Gi0LFhwmK2sSrVodYsmS1j9uvC0axtWCUvZJrD2bzcbSpYNo1WoP6emjmTt3p9KRRB20aXMnFRUqcnJ2Kx2l3lksJlau7EBkZBHOzm8wYMCCOre5adNjBAZa6d37nV885uTkyvjxrzN/fhEhIdvIz+9JcPBRcnNHsHhxAF9++QeH33+4es/l02RmTiA29gBLlsSi0xUrHUs0Aikom6AZMz5Hp3uaqKh0PvkkmoKCVKUjOayrBaWLi5fCSZqH6p7JPsTFHSAzcyKzZ29VOpKoI7VaTUGBP1arY21fVv3FpyutWmViNj/L8OG/r3ObFosJm20lyclhdO8+qcbndugwkgULDnPXXYUUFT2EVmvC0/MNNm/2YOnSYaSnH61znqZKrVYzc+ZGqqqeJTIyi/Xro8nKOq10LNHApKBsou655x+4u79PQEA527d3ICVlv9KRHJLFUgWAq6sUlDdjtVpYvLg7rVsfJSdnMjNnfqF0JFFPVKoOBAQUONQG1UuXDiA+/gIlJQmMG/davbT55ZdPExJipmvXN2p9jYeHP/ff/xGzZ1fg6bma4uK2hITs5uLFXixcGMmOHf9wqL/3nxo37jX8/Vfg5VXF/v3dOX58g9KRRAOSgrIJGzLkEeLivkKrtXLixOAWuXqwoVmt1QWlnDNdM6vVwpIlnYmLO0Ve3iymT/9U6UiiHoWEDMXX187ly4lKR6kXy5ePIS7uIFlZk3jggY/rpU2r1YJe/xEpKYH07Tvzttro3Xs6CQnn6Ncvjfz8yXh4FKLRPMOnn7qycuW9Djka1bfvTHr0OIDR6ERW1n1s2/aK0pFEA5GCsonr1OluBgw4QmWlK/n509i+/e9KR3IoFksVVityoksNLBYTS5a0Jy7uAsXFC5g6dbnSkUQ969KlemeJ06c/UzhJ3a1dO4Po6G9ITR3KjBmf11u7W7f+ifBwI23a/LXObfn7RzN9+qdMnapHpfoXlZVhhIRs5OjROBYubMP+/UscqtcyNrYP48ZdIjc3GI3mBdasma50JNEApKBsBiIjuzJhwiVycoKAP/LZZw8pHclhWK0GzGalUzRdZrOBpUvb0qrVJcrKHuWBB1rWEXMtRVRUd4qKNBQW7lM6Sp188cVvCA6u3mB/zpxd9dauzWajuPhfXL7sw5Ahj9Rbu2q1mjvueJyEhDQ6djxFbu4ofH1TMRrns2qVJ59+Oofy8vx6u5+SfH3DmTMng9TUboSFrWXRol6/OBtdNG9SUDYTPj6hzJ6dzuXL7QkMXMiyZSMc6husUmw2AxaLSukYTZLRqGfZsnhiY9PQ6Z5k0qT/KB1JNKCSkmBUqiSlY9y2rVtfwtPzPVJS4pg370i9bmO1fftrREXpiYp6rt7a/LmIiM7MmfMN996rx2D4CyaTF4GBy9m7N4SFC7tx6tSXDXbvxqLVOpOQcJzs7AeIjT3KsmUxlJXlKh1L1BMpKJsRJydX5s8/Q1racGJidrB4cUeH34KiodlsRikor6OqqpyVK1sTE5OF0fhHJkyQky8cnbNzV0JCSpvlvoF79vwbeJG0tFBmzTpVr0d/2mw2cnJeJz3dg2HDnq63dm9Eq3VmzJgXWbAgj6ioveTlDSAw8BRFRfewdKkvX3zxWwyGygbP0ZAefHAdZvOLhIXlsnlzHGlph5WOJOqBFJTNjFqtZs6c7RQWJhAbe4Hly6PlG14dSEH5SzpdMatXxxMVlYvV+iLjxr2qdCTRCCIihuPuDmfPNq+toA4fXkNFxePk5Pgyffo5XFzc67X9PXveIyamgqCgJxt98/42bQYzf/4PjBlTTmnp4wD4+v6LrVt9WLx4EMnJ3zdqnvo0ZsxfCA1dh5ubiSNH+nH48BqlI4k6koKymapeufgaYWEFbNrUWvb4uk02mxGrVX4NrqqoKOSTT9oQEVGAWv0aY8b8RelIopF06zYFgKSkTQonqb2zZ78hK2sGxcXuTJp0pkF2a0hJ+StZWa6MHv1ivbddW66untx777+YO7cUP78vKCzsREjID6SlDWbRohC2bn2pWc5H7NnzAfr2PYxO50pBwYNs2fInpSOJOpBP0mZsxIhnCQ5ei6engR9+6MGZM18rHanZsdtNUlBeUVaWy2eftSEsrBhX13cYMeJZpSOJRhQYGENurhMlJQeUjlIrqamJnD07Dr3eiZEjj+LrG17v99i/fxFxccV4ej7SZI4W7dZtIgkJJxk8OIfCwlm4uFTg6voiGzZ4sHz5GLKzm9cG9VFR3Zk4MZWsrDBcXf/GqlWTZH1AM9U0fkPEbevdeyrduu3DYtGQkjKOvXv/q3SkZsaE1apROoTiSkoy+eKLtoSElOLp+T533vk7pSMJBVRWRuLsnKJ0jJvKyTlHYuJQAAYM2EdoaLsGuc/Zs8+Tk+PMuHFNb7s2H59Qpk5dzoMPVuLispCyshhCQr7h9OnOLFwYy9697zebwszbO5h589JJTe1DRMQXLF7cTdYHNENSUDqAuLgBjBhxjqIib6qqHmXz5rofMdZymLHZWnZBWVCQyubN7QkMrMDPb2G9bosimhc3tx6Ehuqa9KKP4uJ0tm/vhaurhc6dvyE2tk+D3Ofw4U9o3ToPZ+d5aLXODXKP+qBWqxkwYAEJCcn06JFMfv4EvLyysVr/j7Vr3VmzZholJZlKx7wpjUbLggUHycubRatWp1mxIqpZ5Bb/IwWlgwgKasXUqemkp0fj4fEmq1bdp3SkZqJlF5R5eRfZurUTfn56goJWMGDAAqUjCQXFxo7G2RlOnvxC6SjXpdMVs2lTV/z8DERFraF9++ENdq/jx5+moEDLhAnvNtg96ltwcGtmztzIAw/osVheQ6/3Jzj4Ew4ciGLhwo4cOdL0T7iqPjjhdUJCCvn66/hmvfCopZGC0oG4uXkzb94lLl/uS0TEBhYt6t0stwBpXGbs9vrbYqQ5yc4+w/btXfHxMRAevva2j5MTjqN79wewWCAlZYvSUX7BaNSzdm0HQkPL8PX9L716TWmwe50+vYW4uExstqnN8hQtjUbLiBHPkpCQTXz8IfLy7sDf/wIVFVNZtsyL9et/jV5fqnTMGxo+/Bmiojbi5GTl9OmhHDiwTOlIohakoHQwGo2W+fMTyc5+gFatjrBkSVyTfuNQmkplaZEFZUbGcb77rhceHiZiYjY06IezaD48PPzJzXWjsrJp7QtotVpYsaIj0dH5qNV/Y/Dghxv0fgcOPE5pqZoJE95v0Ps0hpiY3sydu5tx4yqoqPg9VqszAQEfsn27P4sW9eHChZ1KR7yurl0nMGjQccrK3CktnStTuZoBKSgd1IMPrkOvf4aoqAw+/TSG/PxLSkdqkqoLSielYzSqtLTDfP99X1xczPx/e/cdX2V993/8dUY22SE7IQkBBERAkCGIqIiAgqBWRNmku3bdre1tf1ZrW9va5d3etx2yRVEcSBREBNnKqIBMWZmQnRCyxxm/P5IgIwRCzsnJSd7Px6MP0us61/f7SR9NePO9rs/17dXrAwYOfNDVJUkHUlPTA1/fLFeXcYHNZmPJksEkJWVSVfUjxo//hVPnO3FiC4mJaVRXT8XHJ8Cpc7UnLy9fJk9+kfnzi4mI2EBh4a2Eh39Obu49LF4cxtq1/93hGmGio/vzta9lc+ZMPP7+f2L58klu02jUFSlQdmIPPPAHunX7FyEh5Wza1I+TJ917n15nMBotQNcJlKdO7WT37pF4eNjo128D/ftPdHVJ0sEEBAwjIqK2w2yYsGzZnSQnH6awcBYPPvgXp8+3bdt3qKgwMGXKv5w+l6v07XsvCxb8h7vvLqKoKAWzuQY/v9+TmtqNpUvvJitrn6tLvMDXN4h5806Tnn4H8fEfsnhxX2prq1xdljRDgbKTGzXqGyQnf4jJZOPw4Tu1G8FljEYrXSVQnjixhQMH7sRggFtu2eLUhgZxX8nJkzGZ4MCBt1xdCitWPEhi4g6ysyc1Nms4V0bGXuLjj3H+/H34+4c5fT5X8/ML4ZFHXmH27Aq6dXudc+d6ERm5mRMnhrBwYSybNv2xQ6wImkxm5s3bRnHx1+nR4wSvvx5LYWG6q8uSyyhQdgH9+t3H6NEHKC/3oaDgcTZs+K2rS+owTCYr0HFfCeIox459zKFD47BajQwduoNevUa7uiTpoAYMeICaGsjK2uDSOt56ax6xsamkpY1g1qy17TLnpk3foLbWwOTJr7TLfB3J0KEzSEk5xrBhmRQUPIKfXxEm01OsWuXNihVTO0SAe/jhf+Pp+TfCwkrZuPEmTpzY4uqS5CIKlF1EdHR/pk5NIzc3HJPp//HWW/NcXVKHYDLZMBg6d6A8dOgDvvxyAnV1Jm6/fQ+JicNdXZJ0YB4e3uTn+1Nb+4XLanj//Z8SErKUU6f6MXdu+7w2JifnCDExByguHkNwcGy7zNkRhYTE8/jjbzF9ehUGw9+oqIgiImIN+/YlsXBhL5d3XN9555MkJ3+E0Wjnyy/vZseOzvtogrtRoOxCAgLCmT07k/T0vnTvvpSlS+/qELczXKmzB8r9+98hLW0K1dUejBnzOXFxg1xdkrgBi6UXAQG5Lpl748bf4+X1J9LT45k7d3+7bXm4fn0KNhtMmrSoXebr6IxGI3fe+SQpKZn063eIvLzxBAWlU1Mzl1df9WPVqrmUlRW4pLa+fe9l7NgjlJQEUFX1LVavftIldcilFCi7GA8Pb+bPP0xm5ngSErawePFNXfoBZ7PZhtHo5eoynOI//1lJdvbXKC/35u67vyAm5mZXlyRuIiTkdsLDLeTlHW/XeXfu/DcWy3+Tnd2dmTOPtNsONQUFp4mM3EVe3nDCw3u2y5zuJCbmZubM+YipU6uoqXmWurpuhIUtY/v2CBYuHMShQx+0e00REb0aN/NIIjj4f1m69J4uv0DiagqUXZDRaGTOnI8oKfkWPXqc5LXX4iktzXF1WS5hNts7ZaDctWsZeXlPcP68D+PHH3LaXsfSOfXtOxWAgwfbrzFn//53OHfuW+TlBfDoo0fx9u7WbnOvW5eC0QgTJmh1siVmsycTJjzHggX5xMVtJz9/JGFhBykunsySJcGsWfOjdt2208cngPnzT5KZOY6EhE9YvLgX1dVl7Ta/XEqBsgt76KF/YDS+SEREMR98kEx29gFXl9TuGgKl++2E0ZIdO/5FcfFciov9uP/+Y1pxkVbr3fsuyssN5ORsbpf5jh//hIyMRykt9eaBBw62a4d1aWkOoaFbOXNmINHR/dttXnfXq9do5s//lAkTyigtfRKDwU5g4EusXx/IkiWjSUv7rF3qaFgg+ZjS0ieJj0/jzTfj2n1lXRooUHZx99zzU6Ki3sLXt5bdu4e65NaFK3l4gMnk4+oyHGbr1r9TXv4tCgsDePDB44SExLu6JHFDRqORwsIQrNbDTp8rK2sfBw/eR22tibvv3ktYWA+nz3mx1NQUvL3tjBvX9Tq7HcHbuxtTp/6NuXNLCQp6l6Ki/kRE7CQ9/XYWLYrko4+eb5ctgKdO/Rt+fv8iOLicbdtu5siRD50+p1xKgVK49dZHuPXWXdTVmcnImMK2bf/r6pLahdVqwWwGs7lzrFBu2vRHqqu/T15eMA89dJKgoGhXlyRuzGC4idDQIqc+l5aff5KdO2/HaLQzbNjWdl8hLC8vIiBgPZmZN5GQcFu7zt0ZDRo0jZSUg4walUtR0RN4eZXh5fUs777rw/LlE8nNPebU+UeN+gZ9+36C1WokLe1+tmx5yanzyaUUKAWAhITbGD/+OEVFgdTUPMmaNT92dUlOV1PT8KxNZ1ih3LDhN1gsT5GTE8qjj54iICDc1SWJmwsPH0NQkI3MzL1OGb+0NIePPhqMn18dffqkkpQ00inztCQ19Zv4+9sZM+Yf7T53ZxYYGMn06St4/PEKPD1f4fz5eCIj13PoUD8WLkxg+/aXnfYPld69x3LvvScoKgqivv5HvP12ilPmkSspUMoFYWE9eOyxTLKyEvD3/ysrVkx1dUlOVV1dDoDZ7N6Bct26Z4BnOHMmnMceO4WfX4irS5JO4JZbHgXg8OF3HD52VVUpq1ffTFhYJZGRy7n55kkOn+NaqqvL8PF5j/T0JHr3Htvu83cFRqOR229PISXlNAMHniA//wH8/XOwWr/LypV+rFz5GOfOnXH4vGFhPXj88TNkZvYhLGwRixePapfb7l2dAqVcwscngHnzTpKRMYLY2DUsWjQYi6XO1WU5RW1tU6D0dXElN+7995/C0/M3ZGVF88QTp/H1DXJ1SdJJxMUNoqTESGHhNoeOW19fw+uv9yM6+hy+vi8xbNhMh45/vVJTv0dQkI3hw//HJfN3NRERvZg1630eeaQKi+V3VFcHEx7+Jp99FsfChf34/PNVDp3Py8uX+fOPkp09iYSET1myJInKyhKHziGXUqCUK5hMZubP/4zc3OkkJBxg6dLO+YPYFCg9PNwzUL733vfx9f0jGRlxzJp1sl1fsyJdQ0lJBAbDCYeNZ7VaWLZsAAkJudhszzB27A8cNnZr1NfXYDSuJC0tlgEDHnBJDV2VyWRm3Lifk5KSQ3LyXgoK7iQk5Djl5dNZtiyAd9/9NlVVpQ6Zy2g0MmvWWiorf0psbDbvvBPP2bPObzTrqhQo5apmzHiD2tqniY09y9tvJ5Cff9LVJTlUbW3D+9LcMVC+88438Pf/O+npScyZcwIvL/f7HqTj8/C4mfDwcw65XWiz2Vi6dBhJSacoL/8OEyc+74AKb0xq6g/p3t3C4MF/dlkNAj16DGXu3C3cf3855eU/xWr1ICTkn2zcGMKiRcM4fvwTh8wzefKLBAUtxd+/mk8/HcwXX6xxyLhyKQVKadGkSb8lMHAhwcEVbN58MydOOPb2lys1BUpPTz8XV9I6q1bNJTj4FdLTezF37jE8PDpHl7p0PLGx4/Dzg2PHNrR5rOXLx9Gz537y8x9j2rT/c0B1N8ZqtVBXt4TTp8MZMuRRl9UhX/Hy8mXy5BeZP7+Y8PD1FBbeSnj4f8jNvYfFi8NYu/Zp6utr2jTHiBFzGDhwB3V1Zs6cmcrGjb93UPXSRIFSrmnkyAX07v0xRqONo0fvYvfu5a4uySHq6ioB9wqUK1fOIDx8GWlp/Zk372i7bU0nXdPAgdMBOH48tU3jvP76IyQkbCYzcxwzZqx0RGk3bO3anxEVVUffvr91aR3SvH797mPBgv9w991FFBWlYDbX4Of3O1JTu7F06T1t2oAjKWkkkyadJC+vOwbDf/Pmm655frezUqCU63LTTfdwxx0HKSvzoaRkDuvX/8rVJbWZuwXK1157iKioNzh9ehDz5x/EZDK7uiTp5MLCepCf78G5cze+68k773yL6Oh3OH16CLNmfeTA6lrPZrNRXv4yaWkh3H67XifTkfn5hfDII68we3YF3bq9zrlzvYiM/ITjxwezcGEsn3zy5xt69VBwcCyzZ2eRnj6AiIjXWLRoaKdtPG1vCpRy3aKi+jJtWgY5OZF4eDzHqlVzXF1Sm9TXNwRKL6+O38yyfPkkYmJWc/r0bcyb9zlGo350pX2Ul8fg6Zl2Q9euW/cLgoL+xalTvZg3b4/L/3/70UfPERNTQ1LSMy6tQ1pn6NAZpKQcY9iwTAoKHsHPrwij8SesWuXDa69No7AwvVXjeXh4k5JykJych0lI+JylSxMoKytwUvVdh/5Wklbx9w9jzpxM0tP7Ex6+nCVLxjh1Jw1nqq+vAsDLy9/FlbRs2bJxxMd/SHr6aObN2+Xyv5Sla/HxGUxkZAXFOWc5vWE7x9d8zOkN26ksLm3xus2b/4LZ/ALp6THMnXvY5f+/tdlsFBb+hcxMf8aM+b5La5EbExISz+OPv8X06VUYDH+joiKS8PD3+PzzJBYu7M2uXctaNd7jj79Nff2zREfnsmZNIllZ+5xUeddgsNvtdlcXIe7HZrOxYsX9xMev59SpnsyaddDtOo3Xrn0aP7/f0afPUaKi+rq6nCvYbDaWLRtLYuJ2MjLuZu7cTa4uSbqYzG17OfXcM/Q+sI+Yc4WXrEDYgNzQaM6MGEvkUz+kx5ivti7cvXs5xcVzyMsLYcaMdHx8Atq99stt2vRHTKanqKv7NePH/z9XlyMOcvbsYTZu/C/8/DYRFmYlO9sXL6+vMXHin/D3D7uuMT7/fBUZGY8DkJDw+nU3a1XWWsgorqTOYsPTbCQh1A8/r677KJICpbTJ6tXfpVu3l8nODmHatC8IDo51dUnXbc2aHxEY+BIDB2Z3uLobXrEykqSkPWRlTWT27HWuLkm6kJz9RymeOY8BR/dgMRgx269+F6Lp/KF+wwhdsYQi0ykyMqZSWurHgw+eJDAwsh0rv7olS4Ixm+t44olyl6+WiuNZLHV8/PFvyMn5J4mJhVRXQ27uQEaMeOG6dmLKytrH1q2jCQ2txmh8lgkTnmv2cyfzy3ltdxabjxeQVVLFxQHKAMSH+HJXn3CeGB5Pr4iOfffL0RQopc02b/4LVVX/RWmpN3fcsZP4+FtdXdJ1eeedbxEa+i+GDz/fIVZQmthsNpYsGULPngc4e3YqTzyx2tUlSRey5xd/4JYXf4nZamkxSF7OYjBiMZn54LFe1E08xbhxRwgP7+nESq/f9u3/wGr9DhUVT/HAA39wdTniZCdObGPHjp8RGrqbwEA76elBhITMY8KE37R4J62srIC33hpIQkIe+fkP8/jjb184l11SxdOrD7H9VBEmowGr7erRqen8HclhvDBtAHEh7nX37kYpUIpD7N//DmlpDa8YSU5+h4EDH3RxRde2atUcwsOXM2aMtcOsWFitFpYsGURy8hFyc6czY8Ybri5JupDPFvyYkYv/ip2G1ZbWarpuy+MpjH3tFccW1waLFoXj41PG9OkVejtCF1JdXcb69b/g/PnlJCSUce6ckdLS2xk79k8kJg5v9hqLpY5ly26nZ8/POXVqAHPm7OGdAwU8m3oEi83eYpC8nMlowGw08Ksp/XnstnhHfVsdVsf4W1Tc3uDBDzNkyGfU1HiQnT2NLVs6/v64Vms1dXV0sDDZn6SkIxQUzFaYlHa15xd/YOTivwI3FiYvvm7s6wvZ8/9edEhdbbVnzwp69izEx+frCpNdjI9PANOm/Z25c88TFPQuxcX9iYjYQVraCBYtimLDht9csQuU2ezJggX/IS/vcRITD/H1l77Dz989RK3F1qowCWC12am12Pj5u4f4382da6e55miFUhyqpCSLNWsGERNzjqqqJ5k69W+uLumqVqx4kJCQVCZNcv2PgMVSx9KlfUlMTKO09Os8/PC/XV2SdCE5+48SMmwwXpa6ZsPkSeAZYAdQAsQDjwM/AZq7mWcHas2elOzZT/Tgfs4q+7osXBiNv38RDz9coY0AhPPn81i//ifU179LbGw1BQVmamru5d57/3xFc+Yvl/2L5V867vn6Pzw0gOmdeKWyYyzNSKcREhLPjBlZZGUlEhT0d1599YEO+1ohq7Uai+VG12Icp7a2iqVLe5GYmEZZ2fcUJqXdFc+ch9lqaTZMZgPDgF3A94CXgJHAs8CMq4xnAMxWC8Uz5zmh2ut34MBqkpNzMRqfUJgUAAIDI5k+fQWPP16Bp+crlJXFExn5IYcO9WPhwkS2b/8HNpuN7JIq3jwVDzS/4FCbd4r8N39J1l++RtZfvkb+G89Ql9/y+1p/mXqE7JIqJ3xXHYNWKMUpGrqU7yAp6VNOnbqFuXP3drhf6EuW3Elg4A4eesjqshpqaipYsaIPCQk5VFf/hMmT/+iyWqRryty2lx53Drvq+ReAXwCHgf4XHZ8DLKdhxTK4pfG376XH6KEOqLT1Fi5MICjoDA88UIq3d8ffwEBcIz//JBs2/BhPz4+IiKjn7FlvlmT8jfTKaKzNJKTavFPkr3gKk38Y/oMmYMdO+b512GrKiZr9FzxCm1/VNBkN3J4UyqsLmn9+091phVKcwmg0Mn/+zsbnUA6ydGkClZUlri7rEnZ7LRaL634EqqvLeO21ZOLjc6ire1phUlwi78WXsBiu/nNQ1vhnxGXHo2j4C6SlfyZaDEbyfv/XthV4g44d+5jExEzq6x9RmJQWRUT0Ytas93nkkSoslt+Rdb4fpyqaD5MA57evwGD2JHL2nwgY/hCBwx8mctYfwW6ndOvyq85jtdnZfqqIUwXlTvpOXEuBUpzqscdeo67uGWJjc3n77R7k5R13dUkX2O11WK2u+RGorCxh5cqexMXlA79m0qTfuqQOkdhdW1p8PdDYxj8XAAdouAX+JvAP4PuAXwtjm+02YnZtdUidrbVz53cpKzPy4IP/dMn84n5MJjPjxv2c2tjlmFp4Gqom+wjeCYMwXfS6OXO3ELzjbqbq9B5sddVXn8NoYMWuLEeW3WEoUIrTTZz4PEFBSwkKqmTr1gGcOLHF1SUBTYHS1O7zlpUVsGpVMtHRRZhMf9CuHeIyFUXniCrOafEzE4BfAx8Dg2loyHkMeBK4nrXH6OKz19ym0dHS0j4jIeEkFRWT8PUNate5xf1tPl5w1dVJALu1HkMzj3AZPLzAaqG+MPOq11ptdjaf6Jz7husdCtIuRoyYw/HjcRw4MIGjR++mpGQJI0bMcXFVddhs7RsoS0tzeO+9fkRGnsfb+yXGjv1Bu84vcrH8fYe5nlePJwBjgIeBUGAtDc9WRtLQqNMSI7Dqpccx9bLR0K5jwGAwXPR107rG5cebvqbxa+NVjzcda/qzomI1ERHg4RHAO+9845LPNH/dpTU0/PeLv764PuMln2ka76trjM1c19w1xmavu/hcw1yXjvfV180fv/jzzZ+7vL6vjhmNF19jbOa6q4136XVGo6HZ4w3nrnbNpcdd9Tq3iloLWddonPEIiaU25zh2mxWDseHvELu1ntqchjtwlvJivFq4Pqu4ispaS6fbprFzfTfSofXpczeBgYfYsGEo3t5z+fDD00yc+LwLK6pv10BZUpLF++/3Jzy8gm7dXuaOO77dbnOLNMdSXXPNz7wBfAM4ATS1GjxEw17eP6Oh0zv0GmP4mo/gE5RNY17CYACDwX7h6yYNx6/8+uL/fvF5gOZyR/fujfP6vn7N789V7PaG/8i12Wxf/W918Z/Nfd3cuYY/DVdcf+WfBs5UJGKn5fco+986iZKPXqZ43d8IGPEw2G2c//RNrBXnGsay1LV4vR3IKK6kf3Rgi59zNwqU0q4iI/swbVo6b755C4mJv+aNN07z2GOvuaiaemy29vkRKCxM58MPBxAaWkVw8GJGjnTt61Sk66msLOHUqe2cObOLkpKD1NamYUiz0uca171Mw63uy/tWpwBLgf3AuGuMMXTkCnqOv+OG6r5eNpsNu93GkiXDiYrax5AhXxIcHIfdbrvkPxd/tvlz9quea/j6yvMN57463jC+/cI5sDV77eXXXfz1pefsl4xxeS0N5+xXXAf2yz5HM8davq7ptTmX1tHc8eavaTje3HWXHmv67FfnWrru8mub0uTF//3SMS8+funXl15XWn15+9mV/AdPwlJWRNnud6k8vAkAz8heBIx4mLJP38To6X3NMeosHfN1em2hQCntzt8/jLlzM1i6dCjJya+zeHEGc+dub/dbHAaDBbvd+T8CeXnH2bhxMMHBNUREvMpttz3h9Dmla6qqKuXkya2cObO7MTSexmTKJyCgjOBgK0Yj+Pk1rO6VlPhQFRmFjZYfps+n+dcC1Tf+aWnm3MVsQOSQATfw3bSO0WgkL+8kMTH7yMsbRWTktaKyyJWO5Jxn4d93XPNzwXfOJmD4Q9QXZmL08sMzPIFzW5cBYA6Jueb1nubO18KiQCkuYTZ7Mn/+AV57bQpJSWtZvLgXM2d+0a6v9zAYLNhs1/6XZFvk5Bxh8+ah+PvXEhOziltvfcSp80nnV1VVyqlT28jO3kVJyaHG0JiHv38ZISFXhsaamlDOn++L3d6XiIhbSUoaQ1RUvwv/gDv7fAwxLTTm9AY20HDLu/dFx1fSEERvuUa9OaExxIYGteVbvm4ffphCVBRMnLioXeaTzich1A8DV3ud+aVM3t0wxX31dtaajAOY/MOu+h7KJobGeTobBUpxGaPRyKxZH/Dee98nPv7vrFwZz4MPHiAkpH22pjIaLdhsHk4bPzv7ADt2DMfX10Ji4nvccssUp80lnUt1dVljaPyM4uKG29MmU+4VodFohOLihtBYVnYTdvtNREYOJTFxNNHRN1/Xqv+ZEWOJWPfGVV8d9FPgQ+AOGhpwQoEPGo+lANEtjG0xGDk74s4rbpc7Q1FRJuHhOzh7dggTJmh1Um6Mn5eZ+BBfMlu5o03lsW3U5Z4k+K75FzU8NS8+1LfTNeSAAqV0AFOn/o0tW3rSvfuP+PDDPowevZ0ePZy/s4bRaAWcEygzMvaye/covLys9Omzjn797nPKPOK+vgqNDbena2pOYTTmERBw/kJo9PVtWmn0prq6KTT2ISJiCElJY647NLYk8qkfYl579eaVMcCnwHM0PE9ZDCQCvwWeusbYZruNyJ//qE31Xa+1axtWJ8ePX9gu80nndVefcF7dnYnV1vw6ZU3WYc7vXIl34mCMPgHU5XxJxcGNeCcNwf+2B1sc22Q0cFfvcGeU7XIKlNIhjB37A774IoHa2of5z39GcO7cWwwaNM2pczYESsdvB3ny5A4OHLgLk8lO//4f06fP3Q6fQ9xDTU0Fp05tIyvrM0pKDjWGxqaVRgsmU0NobFhpbAqNvbHbbyI8/FaSku4gJuYWpz5f3GPMbRzqN4y+x/5z1VXKYcC6Vo5rMRg51ncoA9ph28WysgKCgzeRlXUz48cPcvp80rk9MTyepZ9lXPW8yT8UjEbKdr+Lra4ac1AEQWNmETBs6oXXCF2N1WZn5oj2uQvX3hQopcMYOPBBgoP3sH37KM6efYhz5/7MXXf92GnzmUw2DAbHBsrjxz/h0KHxgIFBg7aSnDzKoeNLx1NTU8Hp09vJymq4PV1TcxqjMafF0Fhe3gu7/SYiIoaQmDiK2NhBLnvvHkDoiiVYhg3GZKmjhQ1CrpsdsJjMhK5Y4oDRri019etERtoZO1a74kjb9Yrw547kMD5NK252ldIjOIqI6b9u9bhNe3knh/s7oswOR4FSOpT4+FuZNOkkq1cPJC7uv1i9+jTTpv2fU+YymawODZRHjnzI8eMPYLWaGD58JwkJtzlsbHGtptCYnb2b4uIvqK5uWmk8fyE0+vhAWFhTaAyhvDz5kpVGV4fGlkQP7seep55n2As/d8h4BuDgz37NsMH9HDJeS6qqSvHz+4CMjF6MG6d/wIljvDBtAOP+uvWqt71vhNlo4IVpzn/jgasoUEqHExwcyxNPZPPqq7eQnPwyy5enMXPmWof/ZWwy2TEYWtrP4PodPJhKWto0amvNjB69m7i4QQ4ZV9pPbW1V40rjrotCYw7dup0nNLQhNHp7N4VGL6qqQigvvxWbrQ8REbeSmDia2NhBmEzu+Wt12G9/xmd5+Yxc/FfscEMrlU3X7VrwY0b85lpPWDrGmjXfJjzcxk03OecfntI1xYX48qsp/fn5u4ccNubzU/oTF+LrsPE6Gvf8zSednpeXL/Pnn2DZsrEkJq5n8eKBzJ37OeZm9k+9UWazDaOx7YFy3763yc5+lMpKL+666z9ER/e/9kXiErW1VaSl7SQz81OKiw9SXX3yOkLj4MaVxkEkJt5BXNxgtw2N1zJy0V/YExnBLS/+ErPVctVnKptjMRixmMwc/Nmv2y1M1tZW4eHxFunpPbjnnnvbZU7pOh67LZ6iilr+tOFEm8f66fg+TL+tcz472cRg/+oV8yId0qpVcwgNXU5GRiSPPnoIf/8wh4y7dq2BkpIHmDXr/RseY+/e18jLm8X5897ce+8XRET0ckhtcuNqa6tIT/+MzMydFBVdvNJYeiE0AtTVQVFRQ2g0GGLo1q0P4eG3kpAwivj4IZ02NF6PnP1HKZ45jwFH92AxGFsMlk3nD/UbRuiKJUS3w23uJm+9NZ/u3ZcQFPSu05v4pOt6Y28Wz6YewWKzt+oWuMlowGw08PyU/p0+TIICpbiJ9et/BTxHQYEf9967l6iovm0ec8MGA0VFj/D442/d0PWffbaE4uIFlJT4MnHiIbp3T2xzTXJ96utrOH16J1lZn1FUdICqqpMYDLmNobEec2MWrKtrWmkMBmLw82sIjYmJo7t8aLwemdv2kvfiS0R9upHYcwWX7Khjo+Gl5WdH3Enkz39Ej3bo5r6YxVLHO+90o7w8jJSUq7+YXcQRskuqeHr1IbafKsJkNLQYLJvO35EcxgvTBnTq29wXU6AUt7F793Jyc+dSW2tm4MAPuemme254LJvNxrZtJvLzZzF9+vJWX799+z8oL/8OhYX+TJ58uN1ext6V1NfXkJb2KZmZn1JU9EVjaMy5Smj0pKoqhIbQ2Jvu3QeTmDiaHj1uU2hsI5vNxocfmsjPGs+dPf8fluoazD7eRA4ZgF877YDTnPfe+z5BQX/H1/dVhg2b6bI6pGs5mV/Oa7uz2HyigKziqkt21DHQ8NLyu3qHM3NEfKft5r4aBUpxKydObGPfvnvx9a2ne/dXGDlywQ2NU1NTwa5d/hQXf52HH/53q67dsuUlqqt/RH5+IFOnHiUoqKW9QqQl9fU1pKfvIiNjJ0VFB6iuPgWcbSE0BgOxjaFxED16jCIh4TaHPlsrl8rOPsDp04OpqHiKBx74g6vLAcBqtfDmm92oqfFn/vxCV5cjXVRlrYWM4krqLDY8zUYSQv065Q4416vrfufilnr3HkNg4GHWrx+Cp2cK69alMWnSb1s9Tk1NGQAmk0+rrtu06UXq639GXl4wDz/8JQEBnXPHA0eyWOoaVxo/o6hoP1VVJ4Ec/PzOERpaj4cHeHo2NcI0hMaKigHYbL0JDx9MfPztJCYOU2h0kZMnN2E0QkLCna4u5YL1658hOroWk+mvri5FujA/LzP9owNdXUaHoUApbiciohePPJLBypW3kJj4AitXpjFjxspWjVFdfR4AD4/rf7blo4+ex2B4lpycMKZPP46fX0ir5uzMGkLjrguNMFVVJ4Cz+PmVEhpah4cHeHh8FRorK4OorLwZu71ppXG0QmMHlZ+/m+7doVevsa4uBWi4BV9S8jcKCwOZO/fbri5HRBopUIpb8vMLYe7cNJYtG07Pnm+weHEGc+Zsv67n5SqLS8n4ZDdlZ+OwGGqoHFF6zWfB1q37BWbzC2RnR/D44yfw8Qlw0HfiPiyWOtLT95CZuYPCwgONK41nrgiN3btDUZEHlZXBVFb2x25PJixsMD16jCIxcRgeHt6u/lakFSorvwS88PLqGI0FGzf+jri4KqzWjnH7XUQa6BlKcXsrVkwlNnYNp0714IknDjYb9pq6VWN3bSGqOOeKbtXc0GjOjBhL5FM/pMeYS3e4SU39L3x9/0JGRgwzZ36Jt3c3535DLmSx1JGRsZfMzJ0UFOy/sNLo63uO0NA6PD2bPtcUGoOAGHx9exEaOpCEhFEkJo5QaOxEliwJxmr1IyXljKtLwWaz8eqrQRgMNmbOLOuwOw+JdEUKlNIprFnzI3x8XuLs2SAmTz5AWFgPoO3v01u9+kkCAv6X9PR45sw53imCktVqIT19N5mZn1JYuJ/KyqbQWHJFaCwu9qCiIgi7PRpf316EhQ2iR4+RJCXd3in+t5BrW73aRGnp7cybt93VpbBly/8AP6S6+hkmTnze1eWIyEUUKKXT2Lr175SX/4CyMk9GjtxK4cItbdrx4/3pEwmZt4b09CTmzj3mVs/3Wa0WMjP3kp7ecHu6svI4X6001l4IjVZrw0rjV6ExuTE03q7QKBQVZXL4cALnzn2HadNcv7Xh4sWheHlVMWNGpVYnRToYPUMpncaddz7JoUOJHD8+lYPf/zoPfnDohvYkNtttmCx1fO21NbxTNIx5a3d2yHcZWq0WsrI+Jz19BwUF+xpXGs9cEhpNpoZnGo1GMxUVQVRW9sFmSyYsbGDjM40jO8yzcdLxHD/+EQBxcWNcXAl89tkikpJKOH/+RwqTIh2QViil09n8w59z1/847oH9Pb/4A8PaaW/iyzWFxoyMnRQU7KOi4jh2e9Pt6Vq8vJo+B8XFZioqArHZovHx6UVo6C2NK42jFBrlhqxaNZewsGUMH17s8rcaLFoUia/vOb72tXK3ulsg0lV0vGUXkTbI2X+Ukf/316uuTNYCvwReBc4BtwC/Ae69ynh24JY/PEPOww84bY9iq9VCdvZ+0tO3U1BwgIqKL7Hbz1wSGg2GhlfuGAwNobGqqjd2ezKhoQOJjx9BUtKoTt0sJK5RXn4Yg8Hs8jD5+eer6Nkzn+LibypMinRQCpTSqRTPnEe41XLV29xzgbeBHwK9gKXAJGAzMLqZzxsAs9VC8cx5RB/ZfcN1Wa0Wzpw5QHr6DvLz91FZeRybLRtf3xJCQmrx9v4qNBqNZsrLm0Jjz8bQOFKhUVwgi7KyYFcXwf79PyEw0MzUqS+5uhQRuQoFSuk0MrftZcDRPVc9vwd4A/gj8JPGY7OBm4GngE+vcp3ZbmPA0T1k7vgPPUYPver4NpuN7Ox9pKc33Z7+EpvtDD4+JYSG1uDd2N/yVWgMoKqqF3Z7MiEhA4iPH0nPnncoNEqHERBwjrKygS6t4fDhdSQlZVNY+ISaxEQ6MAVK6TTyXnyJmBZeDfQ2YAK+cdExb2AB8DSQDcRdZWyLwUje7/9KXOqrnDlzgLS07RQU7G8MjdnNhkaDoSE0Vlf3pKgomdDQW4iLG0HPnqO75IvRxb2UlxcRGmoBBri0jl27niQkxMiUKS+7tA4RaZkCpXQasbu2tPh6oP1Ab+DyKDes8c8DXD1Qmu02oj7dyIYNpstWGk2UlQVSXZ1EUVEyISG3EBc3nOTkMQqN4taOH/8YoxGio0e6rIYTJ7aQmJhGXt5D+nkS6eAUKKVTqCg6R1RxToufyQWimjnedKzlqyH2XAGfZD5AeNwtxMWNpGfP0fj6BrW+WBE3kJ29g+Bg6NPnPpfVsG3bd+je3cCUKf9yWQ0icn0UKKVTyN93mJ7X+Ew14NXMce+LzrfECNyR+BQ9x9/R2vJE3E5p6UHAeGHXqfaWkbGX+Phj5OVNwN8/zCU1iMj109thpVOwVNdc8zM+NLw26HI1F513xDwinYHVmk5paaDL5t+06RvU1hqYPPkVl9UgItdPgVI6BbPPtbs/o2i47X25pmPRDppHpDPw8yvEao11ydw5OUeIiTlAcfEYgoNdU4OItI4CpXQKkUMGcK3dugcBJ4Cyy47vvuh8S2yN84h0drW1VXTvXoef300umX/9+hRsNpg0aZFL5heR1lOglE7BLzSI3NCW1xgfAazAvy86VgssAYZz9Q7vJjmhMfiFBrWhShH3cPLkFsxmiIgY3u5zFxScJjJyF3l5wwkPv9aT0SLSUShQSqdxZsRYLIar/196OPA14L9peJH5v4G7gQzgxWuMbTEYOTviTscUKtLBZWRsBaB376ttSuo869alYDTChAlanRRxJwqU0mlEPvXDFt9DCbCchm0XXwW+D9QDHwBjrjG22W7jyG3nKC8vckClIh1bcfF+KioMREff3K7zlpbmEBq6lTNnBhId3b9d5xaRtlGglE6jx5jbONRvWIurlN40bL2YS0N39x7gWm/ZsxiM7E3qTdztH/LxxxG89dY8LJY6h9Ut0tHU15+kuNgPo7F9/4pITU3B29vOuHHq7BZxNwqU0qmErliCxWTG7qDx7IDFZCbm7dXEx2+ipCSG7t2XsmpVAOvXP4fNdq1WIBH34+WVT319c9sAOE95eREBAevJzLyJhITb2nVuEWk7BUrpVKIH9+PgU89jcNB4BuDgz35N9OB+9OlzNykpWXh7L6Wuzhtv71+xbFkou3Ytc9BsIq5ntVro3r0aL6/e7Tpvauo38fe3M2bMP9p1XhFxDAVK6XSG/fZnfDb/RwA3vFLZdN2uBT9m2G+euuTciBFzmD27hJqaZ/HyqqamZi4LF8Zz/PgnN160SAeRnr4bb2/o3r39Vgmrq8vw9l5DenoSvXuPbbd5RcRxFCilUxq56C/sefr31Jo9W3ymsjkWg5Fasyd7fvEHRiz8c7OfMRqNTJjwHI8+WkZh4VxCQs6SlXUPCxcOIi/vuCO+BRGXOH16EwBJSXe125ypqd8jONjK8OH/025ziohjGex2u6MeNxPpcHL2H6V45jwGHN2DxWBssQu86fyhfsMIXbGE6MH9rnue8vIi3n33CcLCNgBQVHQvDz30uvYgFrezYsWDhIWlcu+99ZhMZqfPV19fw3vv+XP+fCQpKdlOn09EnEMrlNKpRQ/ux4Aju8ncuofPJz3GmdCYK3bUsQFnQmP4fNJjZG7fy4Aju1sVJgH8/cOYM+cjhgz5kry8QURHf6yOcHFLNTXHKSryaZcwCZCa+kO6d7cwaNCf2mU+EXEOrVBKl1NZXEre54ewVNdg9vEmcsgAh++Ac/z4J2zfPpfk5GxycrwICfk548f/st1fwyLSWsuWBVBfH0JKSobT57JaLaxa5UdVVRALFuQ7fT4RcR4FShEn2rVrGceO/ZDExFIyMgK56ab/YcSIOa4uS6RZNpuNtWvNlJTczZw5G50+X2rqfxEQ8Bc8PV/h9ttTnD6fiDiPlktEnGjEiDnMmVNMTc1zeHrWqCNcOrTc3KP4+9sJCRns9LlsNhvl5S+TlhaiMCnSCShQijhZQ0f4s40d4fMu6ggfSG7uMVeXJ3LByZMNq5I9etzh9Lk++ug5YmJqSEp6xulziYjz6Za3SDu7uCPcYIDCQnWES8ewcuUMund/g9Gjy/H27ua0eWw2GytWBGC3G5k1q1TPFot0AvopFmlnF3eE5+Z+1RG+atVc6utrXF2edGGVlUcpLPR0apgE2Lz5z8THVxIV9ZTCpEgnoZ9kEReJjOzDggX76dFjMyUlsYSHL+Ptt4P48MNfao9wcQmTKZvKylCnz5OV9QLZ2b6MG/e00+cSkfahQCniYr17jyUlJRMfn2XU1Pjg4/Nrli8P4bPPlri6NOliAgPPYzQmOnWO7dv/QWJiKcHB39PqpEgnop9mkQ5i+PDZl3SE19bOV0e4tJuSkixCQmwEBQ106jwnTjxLTo4XEyf+1qnziEj7UqAU6UCa6wjPzlZHuDjf8eMfAxAXN8ppc+zZs4KePQvx8fl6u+3EIyLtQ13eIh1YeXkRq1fPJDT0o8aO8HE89NBKdYSLw739dgphYYu49dZ8AgLCnTLHwoXR+PsX8fDDFZjNnk6ZQ0RcQyuUIh2Yv38Ys2evb+wIH0x09MbGjvA56ggXhzp//iBFRSanhckvvlhDcnIuRuMTCpMinZACpYgbaOgI39fYER5HePhy3n47iHXrnlFHuDhIJmVlwU4bfe/eH1BUZGLy5L87bQ4RcR0FShE30tARnnGhI9zX9zeNHeGLXF2auDl//xLs9h5OGfvYsY9JTMykvv4Rp7/jUkRcQ4FSxA01dYTX1v6qsSM8hYUL4/jyy02uLk3cUGVlCaGhFvz9+ztl/J07v0tZmZEHH/ynU8YXEddToBRxU0ajkfvu+yWPPlpGUdECgoNzOXNmHAsX3kJOzhFXlydu5MsvN2IyQVTUCIePnZb2GQkJJ6momISvb5DDxxeRjkGBUsTNmc2ePPLIQiZMKCAnZwJRUYc4cOBmli27l7KyAleXJ24gO3sHAH36jHf42J988k2qqgxMmfKKw8cWkY5DgVKkk/DzC2H27A8ZOvQEubm3Eh29kU2botQRLtd07twXlJYaCQ/v6dBxs7MPEB9/iHPn7iEwMNKhY4tIx6JAKdLJRET0YsGCz+nRYyvFxU0d4YHqCJerslrTOHcuwOHjbtiQQn093H//QoePLSIdiwKlSCfVu/cYUlIy8PV9lZoav8aO8GB1hMsVfH0LsVpjHDpmXt5xoqM/p6BgFGFhzukeF5GOQ4FSpJMbNmwmc+YUUVf3azw86tQRLpeor6+he/dafH1vcui4H36YgsEAEyfqHzAiXYECpUgXYDQaGT/+/zF9+nl1hMslTp7ciocHREQMd9iYRUWZhIfv4OzZIURG9nHYuCLScSlQinQhV+8IH6eO8C4qPX0rAL163eOwMdeuTcHDA8aP17OTIl2FAqVIF3R5R3hU1CY2bYrizTdnqyO8iyku3kdlJcTGDnLIeGVlBQQHbyIr62bi4hwzpoh0fAqUIl1YU0d4QkJDR3hExKuNHeG/UEd4F1FXd5LiYj+MRsf8dZCa+nV8fe2MHatdcUS6EgVKEWmmI/wFdYR3EV5eedTVRTlkrKqqUvz8PiAjoxfJyaMcMqaIuAcFShG5oPmO8FiOHfvY1aWJE9hsNkJDq/Dy6u2Q8das+TYBATZGjfo/h4wnIu5DgVJELnFpR3gKwcF5nD07Xh3hnVBm5l58fSEsbEibx6qtrcLD4y3S03vQt++9DqhORNyJAqWINKuhI/yVxo7wiRc6wpcuvUcd4Z3EqVOfAJCUNLbNY6Wmfo+wMCtDh/61zWOJiPtRoBSRFjV0hK9r7AgfQnT0J40d4TPVEe7mCgr2UFcHPXuObtM4FksdNtsKTp2KYtCgaQ6qTkTciQKliFyXho7w/5CYuJ3i4ngiIl7j7bcDWbv2aXWEu6nq6i8pLPTGbPZs0zgffPATIiLqGTDg9w6qTETcjQKliLRKr16jSUlJx89vBTU1fvj5/Y7ly4P59FO9xNrdmM05VFeHt2kMq9VCVdW/SUsLY/jw2Q6qTETcjQKliNyQ2257orEj/Dd4eNRRV/d1Fi6M5ejRj1xdmlynkJByzOaebRpj/fpniI6upVev5x1UlYi4IwVKEblhDR3hv2D69PMUF3+d4OA8cnImsHDhAM6ePezq8qQFubnHCAiwExw86IbHsNlslJT8jYyMQO6449uOK05E3I4CpYi0mdnsycMP/5sJEwrIzZ1EVNRhvvhiAEuX3s3583muLk+aceLERgASEu684TE2bvwdcXFVxMU97aiyRMRNGex2u93VRYhI51JQcJr3359OXNznVFYaqaubwUMPLcTDw9vVpUmjN954gu7dX2fUqHK8vbu1+nqbzcarrwZhMNiYObPMYVs3ioh70m8AEXG48PCe6gjv4Corj1JY6HFDYRJg27a/06NHOd27/1hhUkQUKEXEedQR3nEZDNlUVobe8PVpac9z9qw39933nOOKEhG3pUApIk6njvCOJzCwFIMh4Yau/eyzRSQlldCt27e1OikigAKliLST5jrCc3PVEe4KpaU5hIZaCQwceEPXHz36C3JzPbn/fr3IXEQaKFCKSLtq6gifOLGInJxJREYeUUd4O/vyy48BiI29vdXXfv75Knr2zMfTc16bd9gRkc5DgVJEXMLXN4hZs9YybNjJxj3CN7N5cwxvvPGE9gh3srNndwJw003jW33t/v0/obDQzJQpLzm4KhFxZwqUIuJSF3eEFxX1IDLydd55J5C1a/9bHeFOcv78QYqLTQQGRrbqusOH15GUlI3NNl2vgBKRSyhQikiH0NARnka3bq9TVdUNP7/f8+qrQezc+W9Xl9bp2O2ZnD8f1Orrdu16ktJSI1OmvOz4okTErSlQikiHMnToDObPL6a+/gXM5nrq67/JwoUx6gh3oG7dirHb41t1zYkTW0hMTKO6+kF8fAKcVJmIuCsFShHpkO6997957LFyiou/SXBwfmNH+M3qCG+j6uoywsLq6datX6uu27btO1RUGJgyRSvGInIlBUoR6bBMJjMPP/zPxo7w+4mMPMrBgwNYuvQudYTfoC+//BiTCaKiRlz3NRkZe4mPP8b58/fh7x/mxOpExF0pUIpIh9fQEf4Bw4adJCdnKNHRWxo7wh+ntrbK1eW5laysHQD06XPfdV+zadM3qK01MHnyK84qS0TcnAKliLiNho7wvSQl7aCoKIHw8JWsXh2sjvBWOHfuAOfPG4iI6HVdn8/JOUJMzAGKi8cQHBzr5OpExF0pUIqI20lOHkVKymkCAi7tCN+x41+uLq3Ds1hOc+7c9TfVrF+fgs0GkyYtcmJVIuLuFChFxG1d3hFusXyLhQujOXLkQ1eX1mH5+BRisURf12cLCk4TGbmLvLzhhIf3dHJlIuLOFChFxO01dYSXlHyLoKAC8vImsXBhf86cOejq0joUi6WO7t1r8PHpe12fX7cuBaMRJkzQ6qSItEyBUkQ6BZPJzEMP/YNJk4rIyXmAyMhjHDo0UB3hFzl1ajuenhARcds1P1tamkNo6FbOnBlIdHT/dqhORNyZAqWIdCoNHeHvqyO8GWlpWwBITr7nmp9NTU3B29vOuHHq7BaRa1OgFJFOqfmO8CA++OBnXbYjvKjoc6qqID5+SIufKy8vIiBgPZmZN5GQcO3VTBERBUoR6dS+6gh/g6qqALp1e7HLdoTX1Z2gqMgPo7HlX/2pqd/E39/OmDH/aKfKRMTdKVCKSJcwdOh05s8vwmL5HSaT5UJH+OHD61xdWrvx9Myjri6yxc9UV5fh7b2G9PQkevce2z6FiYjbU6AUkS5l3LifM2NG2YWO8Pz8+7tER7jNZiMsrBJPz5ZfaJ6a+j2Cg60MH/4/7VSZiHQGCpQi0uVc3hEeEdHUET6W0tIcV5fnFNnZ+/D1hbCwW6/6mfr6GozGlaSlxTJgwAPtWJ2IuDsFShHpspo6wkeMOE1Ozm1ER29ly5ZYVq6c0ek6wk+d+gSAxMSxV/1MauoP6d7dwqBBf2qfokSk01CgFJEur3v3RBYs2ENy8qcUFSUSEfEGq1cH8f77T3WajvC8vN3U1UFy8h3NnrdaLdTVLeH06XCGDp3eztWJiLtToBQRaZSUNJKUlNMEBr5JVVUA/v5/5NVXA9m+3f27naurv6Sw0BsPD+9mz69d+zOiouro2/e37VyZiHQGCpQiIpcZMuTRizrCrVit33H7jnCz+SzV1d2bPWez2Sgvf5m0tBBuvz2lnSsTkc5AgVJE5Cq+6gj/9kUd4f3csiM8KKgMszmp2XMfffQcMTE1JCU9085ViUhnoUApItKCho7wl5k0qYjc3ClERHzJoUMDWbLkTrfpCM/PP0lQkJ3g4MFXnLPZbBQW/oXMTH/GjPm+C6oTkc5AgVJE5Dr4+gYxc+YaRow4TW7uMGJitrlNR/iJEx8DEB8/+opzmzf/mfj4SqKinrrmDjoiIlej3x4iIq3QvXsi8+fvbuwIT3KLjvCcnF1YrXDTTfdecS4r6wWys30ZN+5pF1QmIp2FAqWIyA1o6Ag/1UxH+MuuLu0KFRVHKCrywMcn4JLj27f/g8TEUoKDv6fVSRFpE/0GERFpg6aOcKv1D40d4d9l0aKoDtURbjBkUVERcsXxEyeeJSfHi4kT9aogEWkbBUoREQe4556nmDGjjHPnvkNgYOGFjvDs7AOuLo2AgHMYDAmXHNuzZwU9exbi4/N1TCazawoTkU5DgVJExEFMJjPTpv0f999fcqEj/MiRwS7tCD9/Po+wMCsBAQMuOX7w4FPk53swefKfXVKXiHQuCpQiIg7m4xNwoSM8J+fijvDH2r0j/PjxjQDExNx+4dgXX6whOTkXo/EJzGbPdq1HRDonBUoRESe5siP8Td57L4j33/9pu3WEnzmzE7i0w3vv3h9QVGRi8uS/t0sNItL5KVCKiDhZU0d4UNBbVFYG4u//J1asCGTbtv91+tylpV9QXGwiODgWgGPHPiYxMZP6+kfw9u7m9PlFpGtQoBQRaSe33voI8+cXYrW+iMFgxWZ7kkWLojh06AOHzlNZa+FIznn2Z50jp9pK4bnwC+d27vwuZWVGHnzwnw6dU0S6NoPdbre7uggRka7GarWQmvoDLJZ/ExJiIT39Ju67byVxcYNuaLyT+eW8tjuLzccLyCqp4tJf7HZ6hPhxa5SVwd3mYygfyKxZ7zvguxARaaBAKSLiQtXVZbzzzmwCA1Px8LCTm3sH06a9QVBQ9HVdn11SxdOrD7H9VBEmowGr7eq/0g1YsWNiRII/f/zaUOJCfB31bYhIF6dAKSLSARQVZZKaOp3Y2N1UVxuoqnqEhx5aipfX1UPfG3uzeDb1CBabvcUgeTmT0YDZaOBXU/rz2G3xjihfRLo4BUoRkQ4kPX03mzbNJCnpFIWFHvj4PMkDD/zxiq0R/3fzSf604USb5/vJ+N58765ebR5HRLo2BUoRkQ5o37632b//O/TsWUhWVjcSEn7HmDHfAxpWJn/+7iGHzfWHhwYwXSuVItIGCpQiIh3Ypk1/JCfnWeLiqjl9OpL4fq/wvXUmai1Xvsey6IO/Unl401XHivnuUsz+YVcc9zIb2fijO/VMpYjcMAVKEZEOrqEj/EdYLP9kScYvOVYyEDumKz5Xe/YY9efyLjtqp+Sj/8McGEF0ysvNjm8yGrg9KZRXFwx3QvUi0hWYXV2AiIi0rGGP8L9zKOtpju7bd9XPecX0xSum7yXHarKPYK+vxa/f2KteZ7XZ2X6qiFMF5SSH+zuqbBHpQvRicxERN/HOgRJMRkOrrqk8uhUw4NfvzhY/ZzIaWLErqw3ViUhXpkApIuImNh8vaNXrgexWC1Vf7sArti/moIgWP2u12dl8oqCtJYpIF6VAKSLiBipqLWSVVLXqmur0fdiqy1q83X2xrOIqKmstN1CdiHR1CpQiIm4gs7iS1nZQVh7dCkYzvn1HX9fn7UBGcWWraxMRUaAUEXEDdc28Jqgltrpqqk/uwidxMCafAKfNIyICCpQiIm7B09y6X9dVJ3Y1dHf3H+vUeUREQIFSRMQtJIT60Zr+7sqjWzB4+uDT6/rfLWlonEdEpLUUKEVE3ICfl5n469zJxlp1npqMA/j2GoHRw/u654gP9cXPS68nFpHWU6AUEXETd/UJv673UFYe2wY2a6tud5uMBu7qHd6G6kSkK1OgFBFxE08Mj7+u91BWHtmC0TcI74RB1z221WZn5oj4NlQnIl2Z7m2IiLiJXhH+3JEcxqdpxS0Gy6jZf27VuE17eWvbRRG5UVqhFBFxIy9MG4C5ldsvXovZaOCFaQMcOqaIdC0KlCIibiQuxJdfTenv0DGfn9KfuOts+BERaY4CpYiIm3nstnh+Mr63Q8b66fg+TL9Nz06KSNsY7HZ7a3fzEhGRDuCNvVk8m3oEi81+Xc06TUxGA2ajgeen9FeYFBGHUKAUEXFj2SVVPL36ENtPFWEyGloMlk3n70gO44VpA3SbW0QcRoFSRKQTOJlfzmu7s9h8ooCs4iou/sVuoOGl5Xf1DmfmiHh1c4uIwylQioh0MpW1FjKKK6mz2PA0G0kI9dMOOCLiVAqUIiIiItIm6vIWERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTZRoBQRERGRNlGgFBEREZE2UaAUERERkTb5/5geiMDbGeEHAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_solution(graph, classical_solution)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e82b5953-122a-4707-8ab6-f741f14f13a5",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    },
    "tags": []
   },
   "source": [
    "\n",
    "## References\n",
    "\n",
    "<a id='MVC'>[1]</a>: [Max k-Vertex Cover.](https://arxiv.org/abs/1810.03792)\n",
    "\n",
    "<a id='QAOA'>[2]</a>: [Farhi, Edward, Jeffrey Goldstone, and Sam Gutmann. \"A quantum approximate optimization algorithm.\" arXiv preprint arXiv:1411.4028 (2014).](https://arxiv.org/abs/1411.4028)\n",
    "\n",
    "<a id='cvar'>[3]</a>: [Barkoutsos, Panagiotis Kl, et al. \"Improving variational quantum optimization using CVaR.\" Quantum 4 (2020): 256.](https://arxiv.org/abs/1907.04769)\n"
   ]
  }
 ],
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